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cleartomark
%%EndFont
%%BeginFont: CMMI9
%!PS-AdobeFont-1.1: CMMI9 1.100
%%CreationDate: 1996 Jul 23 07:53:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 81 /Q put
readonly def
/FontBBox{-29 -250 1075 750}readonly def
/UniqueID 5087384 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMTI10
%!PS-AdobeFont-1.1: CMTI10 1.00B
%%CreationDate: 1992 Feb 19 19:56:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 12 /fi put
dup 13 /fl put
dup 34 /quotedblright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 72 /H put
dup 73 /I put
dup 75 /K put
dup 76 /L put
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dup 80 /P put
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dup 88 /X put
dup 92 /quotedblleft put
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dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
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dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-163 -250 1146 969}readonly def
/UniqueID 5000828 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY7
%!PS-AdobeFont-1.1: CMSY7 1.0
%%CreationDate: 1991 Aug 15 07:21:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /prime put
dup 50 /element put
dup 68 /D put
dup 84 /T put
readonly def
/FontBBox{-15 -951 1252 782}readonly def
/UniqueID 5000817 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 20 /lessequal put
dup 50 /element put
dup 66 /B put
dup 68 /D put
dup 75 /K put
dup 84 /T put
dup 91 /union put
dup 102 /braceleft put
dup 103 /braceright put
dup 106 /bar put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 59 /comma put
dup 68 /D put
dup 81 /Q put
dup 84 /T put
dup 86 /V put
dup 102 /f put
dup 103 /g put
dup 105 /i put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 115 /s put
dup 120 /x put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 5 /Pi put
dup 22 /mu put
dup 27 /sigma put
dup 58 /period put
dup 59 /comma put
dup 60 /less put
dup 62 /greater put
dup 65 /A put
dup 68 /D put
dup 81 /Q put
dup 84 /T put
dup 86 /V put
dup 97 /a put
dup 100 /d put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 12 /fi put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 45 /hyphen put
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 73 /I put
dup 76 /L put
dup 77 /M put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 88 /X put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
/UniqueID 5000768 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMBX12
%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 13 /fl put
dup 39 /quoteright put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 66 /B put
dup 67 /C put
dup 69 /E put
dup 73 /I put
dup 76 /L put
dup 77 /M put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 87 /W put
dup 88 /X put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
readonly def
/FontBBox{-53 -251 1139 750}readonly def
/UniqueID 5000769 def
currentdict end
currentfile eexec
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/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 65 /A put
dup 70 /F put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 103 /g put
dup 105 /i put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-58 -250 1195 750}readonly def
/UniqueID 5000767 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMTT9
%!PS-AdobeFont-1.1: CMTT9 1.0
%%CreationDate: 1991 Aug 20 16:46:24
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTT9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch true def
end readonly def
/FontName /CMTT9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 44 /comma put
dup 46 /period put
dup 64 /at put
dup 66 /B put
dup 68 /D put
dup 72 /H put
dup 74 /J put
dup 79 /O put
dup 80 /P put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 112 /p put
dup 114 /r put
dup 116 /t put
dup 117 /u put
dup 118 /v put
readonly def
/FontBBox{-6 -233 542 698}readonly def
/UniqueID 5000831 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY9
%!PS-AdobeFont-1.1: CMSY9 1.0
%%CreationDate: 1991 Aug 15 07:22:27
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 68 /D put
dup 84 /T put
dup 102 /braceleft put
dup 103 /braceright put
readonly def
/FontBBox{-30 -958 1146 777}readonly def
/UniqueID 5000819 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR9
%!PS-AdobeFont-1.1: CMR9 1.0
%%CreationDate: 1991 Aug 20 16:39:59
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /ff put
dup 12 /fi put
dup 19 /acute put
dup 35 /numbersign put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 94 /circumflex put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
readonly def
/FontBBox{-39 -250 1036 750}readonly def
/UniqueID 5000792 def
currentdict end
currentfile eexec
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%%BeginFont: CMR6
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%%CreationDate: 1991 Aug 20 16:39:02
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
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/FullName (CMR6) readonly def
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/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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cleartomark
%%EndFont
%%BeginFont: CMR7
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%%CreationDate: 1991 Aug 20 16:39:21
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 43 /plus put
dup 49 /one put
dup 50 /two put
dup 61 /equal put
dup 91 /bracketleft put
dup 93 /bracketright put
readonly def
/FontBBox{-27 -250 1122 750}readonly def
/UniqueID 5000790 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /ff put
dup 12 /fi put
dup 13 /fl put
dup 19 /acute put
dup 34 /quotedblright put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 59 /semicolon put
dup 61 /equal put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 83 /S put
dup 84 /T put
dup 87 /W put
dup 88 /X put
dup 90 /Z put
dup 91 /bracketleft put
dup 92 /quotedblleft put
dup 93 /bracketright put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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(in)n(to)523 4825 y(accoun)n(t,)24 b(w)n(e)g(ha)n(v)n(e)g(made)h(c)n
(hoices)e(in)i(the)g(design)g(of)f(the)i(Sym'Previus)d(kno)n(wledge)h
(base)523 4924 y(and)30 b(its)h(querying)e(system,)h(called)g(MIEL)g
(\(see)h([7,)13 b(8]\).)31 b(The)f(more)g(stable)g(information)p
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(more)g(\015exible)g(represen)n(tation)523 648 y(mo)r(del:)38
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(bases)523 1052 y(sim)n(ultaneously)40 b(in)g(a)h(transparen)n(t)d(w)n
(a)n(y)i(\(the)h(\014nal)f(user)g(do)r(es)h(not)f(kno)n(w)g(that)h(the)
523 1151 y(kno)n(wledge)26 b(is)i(stored)f(in)h(t)n(w)n(o)e(di\013eren)
n(t)i(formats\);)f(\(2\))h(b)n(y)g(using)f(MIEL,)g(the)h(\014nal)g
(user)523 1251 y(queries)35 b(the)h(bases)g(through)f(views)g(whic)n(h)
h(hide)g(the)h(complexit)n(y)e(of)h(bases)f(sc)n(hemas;)523
1351 y(\(3\))f(MIEL)f(executes)h(a)f(fuzzy)h(query:)f(prede\014ned)h
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1450 y(in)27 b(the)g(views)f(and)h(the)g(\014nal)f(user)g(has)g(only)g
(to)h(sp)r(ecify)g(his/her)f(preferences)f(expressed)523
1550 y(as)32 b(fuzzy)g(sets;)g(\(4\))g(answ)n(ers)f(are)g(returned)h
(ordered)e(according)h(to)h(their)g(relev)-5 b(ance)31
b(to)523 1650 y(the)23 b(selection)g(criteria.)f(In)h(the)h(framew)n
(ork)d(of)i(another)f(national)g(pro)5 b(ject,)23 b(called)f(E.dot,)523
1749 y(our)j(aim)g(is)g(to)g(complete)g(the)h(Sym'Previus)e(kno)n
(wledge)g(base)h(with)h(information,)e(semi-)523 1849
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(retriev)n(ed)f(from)i(the)g(W)-7 b(eb)22 b(in)f(di\013eren)n(t)523
1949 y(formats)33 b(\(h)n(tml,)i(p)r(df,)h(excel,)e(....\))g(is)h
(stored)e(in)h(XML)h(format)f(in)g(an)g(additional)g(lo)r(cal)523
2048 y(kno)n(wledge)29 b(base)g(esp)r(ecially)g(adapted)h(to)g(store)f
(XML)h(do)r(cumen)n(ts:)g(the)g(Xyleme)h(Zone)523 2148
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g(b)r(e)h(related)e(to)i(three)f(t)n(yp)r(es)g(of)g(w)n(orks.)f(In)i(a)
f(\014rst)g(category)e(of)523 2353 y(study)-7 b(,)25
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r(e)g(a)f(sound)h(scien)n(ti\014c)f(c)n(hoice)g(to)523
2452 y(mo)r(del)33 b(\015exibles)f(queries)f(\(see)i([5]\).)f(It)h(is)f
(a)g(natural)g(w)n(a)n(y)f(of)i(represen)n(ting)d(the)j(notion)523
2552 y(of)27 b(preference)f(using)h(a)g(gradual)f(scale.)g(In)h(a)g
(second)f(category)g(of)h(w)n(orks,)e(the)j(fuzzy)f(set)523
2652 y(framew)n(ork)35 b(has)h(also)g(b)r(een)h(prop)r(osed)f(to)g
(represen)n(t)g(imprecise)g(v)-5 b(alues)36 b(b)n(y)h(means)f(of)523
2751 y(p)r(ossibilit)n(y)24 b(distributions)g(\(see)f([18]\).)h(Sev)n
(eral)e(authors)h(ha)n(v)n(e)g(dev)n(elop)r(ed)h(this)g(approac)n(h)523
2851 y(in)29 b(the)g(con)n(text)g(of)f(databases)g(\(see)g([3,)14
b(6,)f(10]\).)29 b(In)g(a)f(third)h(category)e(of)i(pap)r(er,)f
(\015exible)523 2951 y(query)e(languages)f(ha)n(v)n(e)g(b)r(een)i(prop)
r(osed)e(to)i(scan)f(XML)h(data)f(\(see)g([4,)14 b(9,)f(11,)g(13]\).)26
b(Some)523 3050 y(\015exibilit)n(y)39 b(is)f(pro)n(vided)g(b)n(y)g
(using)g(similarit)n(y)g(relationships)f([13],)h(partial)g(structural)
523 3150 y(matc)n(h)27 b(tec)n(hniques)h([2,)13 b(9,)g(11,)g(12],)27
b(and)g(\015exible)h(constrain)n(ts)e(to)h(determine)h(signi\014cance)
523 3249 y(degrees)e(of)i(indexed)g(terms)f(in)h(the)g(data)f([4].)648
3355 y(Our)20 b(pap)r(er)h(is)h(a)f(v)n(ery)f(\014rst)h(step)h(to)f
(adapt)h(the)f(MIEL)h(system)f(in)h(order)e(to)h(b)r(e)h(able)f(to)523
3454 y(query)f(an)g(XML)h(kno)n(wledge)e(base.)h(As)h(w)n(e)f(already)f
(did)i(for)f(the)h(relational)e(database)g(and)523 3554
y(the)28 b(conceptual)f(graph)f(kno)n(wledge)g(base,)h(w)n(e)g(mak)n(e)
g(the)h(assumption)f(that)h(XML)f(data)523 3654 y(\014t)k(prede\014ned)
g(XML)g(sc)n(hemas.)e(The)i(aims)f(of)h(this)g(pap)r(er)f(are:)g(\(1\))
h(to)f(prop)r(ose)g(a)g(w)n(a)n(y)523 3753 y(of)d(represen)n(ting)f
(imprecise)h(information)f(expressed)g(as)h(p)r(ossibilit)n(y)g
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(\(2\))h(to)g(extend)g(MIEL)f(to)h(b)r(e)h(able)e(to)h(scan)f(the)h
(additional)g(XML)523 3953 y(kno)n(wledge)31 b(base.)h(W)-7
b(e)33 b(recall)f(brie\015y)g(in)h(section)g(2:)f(\014rstly)-7
b(,)32 b(the)h(fuzzy)g(set)g(framew)n(ork)523 4052 y(w)n(e)k(ha)n(v)n
(e)g(used)h(to)f(represen)n(t)g(preferences)g(in)h(the)g(queries)f(and)
h(imprecise)f(data)g(and)523 4152 y(secondly)-7 b(,)26
b(the)h(MIEL)f(language.)f(In)i(section)f(3)g(w)n(e)g(prop)r(ose)g(an)g
(extension)g(of)h(the)g(XML)523 4251 y(mo)r(del)22 b(to)g(represen)n(t)
f(imprecise)h(information.)g(In)g(section)g(4)f(w)n(e)h(presen)n(t)g
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f(the)h(represen)n(tation)e(of)i(fuzzy)f(sets)h(prop)r(osed)e(in)i
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b Fp(\))35 b(is)f(de\014ned)h(b)n(y)f(a)523 548 y(mem)n(b)r(ership)k
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b Fp(1])37 b(that)h(asso)r(ciates)f(the)h(degree)f(to)523
648 y(whic)n(h)28 b Fg(x)g Fp(b)r(elongs)f(to)g Fg(f)36
b Fp(with)28 b(eac)n(h)f(elemen)n(t)h Fg(x)g Fp(of)g
Fg(D)r(om)p Fp(\()p Fg(f)9 b Fp(\).)523 866 y Fh(De\014nition)31
b(2)41 b Fp(F)-7 b(or)27 b(an)n(y)f(fuzzy)h(set)h Fg(f)35
b Fp(de\014ned)28 b(on)f(a)g(de\014nition)g(domain)g
Fg(D)r(om)p Fp(\()p Fg(f)9 b Fp(\))27 b(with)523 966
y Fg(\026)573 978 y Ff(f)650 966 y Fp(its)34 b(mem)n(b)r(ership)f
(function,)i(w)n(e)e(note)g Fh(supp)s(ort\()p Fg(f)9
b Fh(\))34 b Fp(=)f Fe(f)p Fg(x)g Fe(2)h Fg(D)r(om)p
Fp(\()p Fg(f)9 b Fp(\))p Fe(j)p Fg(\026)p Fp(\()p Fg(x)p
Fp(\))34 b Fg(>)f Fp(0)p Fe(g)523 1065 y Fp(and)27 b
Fh(k)m(ernel\()p Fg(f)9 b Fh(\))28 b Fp(=)f Fe(f)p Fg(x)c
Fe(2)h Fg(D)r(om)p Fp(\()p Fg(f)9 b Fp(\))p Fe(j)p Fg(\026)p
Fp(\()p Fg(x)p Fp(\))24 b(=)f(1)p Fe(g)p Fp(.)648 1248
y(The)j(fuzzy)g(set)g(formalism)g(can)g(b)r(e)g(used)h(in)f(t)n(w)n(o)g
(di\013eren)n(t)g(w)n(a)n(ys:)f(\(1\))h(in)g(the)h(kno)n(wl-)523
1348 y(edge)g(base,)f(in)h(order)f(to)h(represen)n(t)f(imprecise)h
(data)f(expressed)g(in)h(terms)g(of)g(p)r(ossibilit)n(y)523
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(to)h(represen)n(t)f(fuzzy)h(selection)g(criteria)523
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1746 y(W)-7 b(e)28 b(studied)h(sev)n(eral)d(comparison)g(degrees)h(in)h
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b(aluate)30 b(the)h(compatibilit)n(y)f(b)r(et)n(w)n(een)g(a)g(fuzzy)523
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(fuzzy)f(set)h(can)f(b)r(e)h(de\014ned)f(on)g(a)523 2045
y(con)n(tin)n(uous)27 b(or)f(discrete)h(de\014nition)h(domain.)986
2659 y @beginspecial 0 @llx 0 @lly 443 @urx 123 @ury
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Fp(b)r(eing)h(their)f(resp)r(ectiv)n(e)f(mem)n(b)r(ership)h(functions.)
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@endspecial 663 4493 a Fj(Fig.)13 b(2.)26 b Fm(The)f(p)r(ossibilit)n
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(fuzzy)f(sets)h(is)h(0.75.)523 4690 y Fh(Remark)32 b(1)41
b Fc(The)i(evaluation)f(of)h(the)e(p)l(ossibility)j(de)l(gr)l(e)l(e)e
(b)l(etwe)l(en)f(a)h(fuzzy)f(sele)l(ction)523 4789 y(criterion)31
b(and)f(a)g(crisp)h(datum)e(is)i(a)f(p)l(articular)g(c)l(ase)h(of)f
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@endspecial 523 1721 a Fj(Fig.)14 b(3.)20 b Fm(A)h(part)g(of)h(the)f
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y(called)34 b(views,)h(whic)n(h)f(are)g(giv)n(en)g(to)g(help)h(the)g
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2601 y(and)27 b(an)g(on)n(tology)f(whic)n(h)h(con)n(tains)f(the)i(v)n
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(MIEL)f(system)h(is)g(com-)523 3177 y(p)r(osed)i(of)g(the)h(set)g(of)f
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f(user)g(and)g(their)523 3276 y(corresp)r(onding)e(de\014nition)i
(domain.)g(As)g(a)f(matter)h(of)g(fact,)g(eac)n(h)f(attribute)h(is)g
(de\014ned)523 3376 y(on)26 b(a)f(de\014nition)i(domain)f(whic)n(h)g
(can)f(b)r(e)i(of)f(three)g(kinds:)g(\(1\))g(n)n(umeric,)g(it)g(is)g
(then)h(com-)523 3475 y(pletely)34 b(ordered)e(\(for)i(example)f(the)h
(real)f(n)n(um)n(b)r(ers\),)g(\(2\))h(\\\015at")f(sym)n(b)r(olic,)g(it)
h(is)f(then)523 3575 y(comp)r(osed)f(of)h(unordered)e(constan)n(ts)h
(\(for)g(example)g(a)g(set)h(of)f(authors\))g(or)g(\(3\))h(hierar-)523
3675 y(c)n(hized)27 b(sym)n(b)r(olic,)h(it)g(is)f(then)h(partially)f
(ordered)f(b)n(y)h(the)h(\\kind-of)6 b(")27 b(relation.)523
3951 y Fh(The)33 b(views)43 b Fp(Final)29 b(users)e(are)h(not)h(exp)r
(erts)f(and)h(cannot)f(write)h(queries)f(from)g(scratc)n(h.)523
4050 y(The)39 b(views)g(are)e(the)j(w)n(a)n(y)d(giv)n(en)i(to)f(the)i
(\014nal)e(user)h(to)g(query)f(the)h(kno)n(wledge)f(base,)523
4150 y(without)27 b(ha)n(ving)f(to)h(kno)n(w)f(the)h(complexit)n(y)f
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4250 y(system,)37 b(a)g(view)h(is)f(comp)r(osed)g(of)g(a)g(visible)h
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4349 y(attributes)g(and)g(a)g(hidden)g(part)g(whic)n(h)g(is)g(the)g
(description)g(of)g(the)g(structure)g(of)g(the)523 4449
y(view)27 b(\(the)i(w)n(a)n(y)d(the)i(attributes)g(are)e(link)n(ed)i
(together)e(in)i(the)g(kno)n(wledge)e(base\).)523 4725
y Fh(The)44 b(queries)55 b Fp(A)38 b(query)g(is)f(an)h(instanciation)g
(of)g(a)f(giv)n(en)h(view)f(b)n(y)h(the)h(\014nal)f(user,)523
4825 y(b)n(y)29 b(sp)r(ecifying,)g(among)f(the)i(set)f(of)g(query)n
(able)f(attributes)h(of)g(the)g(view,)g(whic)n(h)g(are)g(the)523
4924 y(selection)e(attributes)h(and)f(the)h(pro)5 b(jection)27
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%%Page: 5 5
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@endspecial 584 1721 a Fj(Fig.)14 b(4.)25 b Fm(F)-6
b(uzzy)25 b(set)h(in)g(extension)f(corresp)r(onding)i(to)f(the)f(fuzzy)
h(set)f(SubstratePreference.)523 2003 y Fh(De\014nition)31
b(4)41 b Fp(A)20 b Fh(query)h Fg(Q)e Fp(ask)n(ed)f(on)i(a)f(view)g
Fg(V)39 b Fp(de\014ned)20 b(on)f Fg(n)h Fp(attributes)f
Fe(f)p Fg(a)3055 2015 y Fo(1)3092 2003 y Fp(,)h Fg(:)14
b(:)g(:)p Fp(,)19 b Fg(a)3318 2015 y Ff(n)3363 2003 y
Fe(g)523 2102 y Fp(is)25 b(de\014ned)h(b)n(y)f Fg(Q)g
Fp(=)g Fe(f)p Fg(V)19 b Fp(,)25 b Fg(a)1383 2114 y Fo(1)1420
2102 y Fp(,)h Fg(:)14 b(:)g(:)p Fp(,)25 b Fg(a)1658 2114
y Ff(l)1683 2102 y Fp(,)p Fg()p Fp(,)f Fg(:)14 b(:)g(:)p Fp(,)25 b Fg()p Fe(g)p Fp(,)f(1)f Fe(\024)f Fg(l)j Fe(\024)d
Fg(m)h Fe(\024)g Fg(n)p Fp(,)523 2202 y(where)j Fg(a)806
2214 y Fo(1)843 2202 y Fp(,)h Fg(:)14 b(:)g(:)p Fp(,)27
b Fg(a)1084 2214 y Ff(l)1137 2202 y Fp(represen)n(t)e(the)i(list)g(of)g
(the)g(pro)5 b(jection)26 b(attributes)h(and)g Fg(a)2992
2214 y Ff(l)p Fo(+1)3101 2202 y Fp(,)g Fg(:)14 b(:)g(:)p
Fp(,)27 b Fg(a)3342 2214 y Ff(m)523 2302 y Fp(represen)n(t)e(the)h
(conjonction)g(of)g(the)g(selection)g(attributes)g(with)g(their)g(resp)
r(ectiv)n(e)f(v)-5 b(alues)523 2401 y Fg(v)563 2413 y
Ff(l)p Fo(+1)673 2401 y Fp(,)35 b Fg(:)14 b(:)g(:)p Fp(,)35
b Fg(v)926 2413 y Ff(m)989 2401 y Fp(.)h(The)f(crisp)f(or)g(fuzzy)i(v)
-5 b(alues)34 b Fg(v)2060 2413 y Ff(i)2088 2401 y Fp(,)h
Fg(i)h Fe(2)f Fp([)p Fg(l)25 b Fp(+)e(1)p Fg(;)14 b(m)p
Fp(],)35 b(m)n(ust)g(b)r(elong)g(to)g(the)523 2501 y(de\014nition)28
b(domain)f(of)h(the)g(attributes)f Fg(a)1852 2513 y Ff(i)1880
2501 y Fp(.)648 2678 y(W)-7 b(e)39 b(are)e(in)n(terested)i(in)g(the)g
(fuzzy)g(v)-5 b(alue)38 b(of)h(a)f(selection)h(attribute)g(whic)n(h)f
(has)g(a)523 2777 y(hierarc)n(hized)24 b(sym)n(b)r(olic)i(de\014nition)
g(domain.)g(In)g(that)g(case,)f(the)i(fuzzy)f(set)g(used)g(to)g(rep-)
523 2877 y(resen)n(t)31 b(the)i(fuzzy)f(v)-5 b(alue)32
b(can)f(b)r(e)h(de\014ned)h(on)e(a)h(subset)g(of)g(the)g(hierarc)n
(hized)f(sym)n(b)r(olic)523 2977 y(de\014nition)h(domain)f(of)g(the)g
(selection)g(attribute.)h(Suc)n(h)f(a)g(fuzzy)g(set)h(is)f(called)g(a)f
Fh(fuzzy)523 3076 y(set)f(in)g(in)m(ten)m(tion)d Fp(since)f(it)h(is)g
(considered)e(to)i(de\014ne)f(degrees)g(implicitly)h(on)f(the)h(whole)
523 3176 y(de\014nition)31 b(domain)f(of)g(the)h(selection)f
(attribute.)h(In)g(order)e(to)h(tak)n(e)g(those)g(implicit)h(de-)523
3275 y(grees)24 b(in)n(to)h(accoun)n(t,)f(a)h Fh(fuzzy)31
b(set)e(in)f(extension)d Fp(is)g(asso)r(ciated)f(with)i(ev)n(ery)e
(fuzzy)h(set)523 3375 y(in)j(in)n(ten)n(tion)f(\(see)h([14,)13
b(15])27 b(for)g(more)g(details\).)523 3552 y Fh(Example)k(1)42
b Fc(L)l(et)27 b(us)h(c)l(onsider)i(the)e(fuzzy)h(value)f(\(1/F)-6
b(r)l(esh)30 b(che)l(ese)f(+)f(0.5/Soft)i(che)l(ese\))523
3652 y(\(se)l(e)35 b(\014gur)l(e)g(1\))h(assigne)l(d)g(by)g(the)g
(\014nal)f(user)g(to)h(the)f(sele)l(ction)h(criterion)h(Substr)l(ate.)d
(It)523 3751 y(c)l(an)26 b(b)l(e)f(interpr)l(ete)l(d)h(as)g(\\the)f
(\014nal)g(user)g(wants)h(fr)l(esh)g(che)l(ese)g(as)g(a)g(substr)l(ate)
e(and)i(he/she)523 3851 y(also)33 b(ac)l(c)l(epts)f(soft)h(che)l(ese)f
(but)f(with)i(a)f(lower)h(inter)l(est".)f(Sinc)l(e)f(the)h(sele)l
(ction)h(criterion)523 3950 y(Substr)l(ate)i(has)i(a)f(hier)l(ar)l
(chize)l(d)i(symb)l(olic)g(de\014nition)e(domain)i(\(se)l(e)d(\014gur)l
(e)h(3\),)h(we)f(c)l(an)523 4050 y(c)l(onsider)30 b(that)e(the)h
(\014nal)f(user)g(who)i(is)f(inter)l(este)l(d)f(in)h(fr)l(esh)g(che)l
(ese)g(is)g(also)h(inter)l(este)l(d)e(in)523 4150 y(al)t(l)f(the)f
(kinds)g(of)h(fr)l(esh)f(che)l(ese)h(such)f(as)g(p)l(asteurize)l(d)g
(fr)l(esh)h(che)l(ese.)g(The)f(fuzzy)g(set)g(in)g(ex-)523
4249 y(tension)g(given)g(in)f(\014gur)l(e)g(4)h(takes)g(the)g
(\\kind-of)9 b(")26 b(r)l(elation)g(into)g(ac)l(c)l(ount)f(by)h(pr)l
(op)l(agating)523 4349 y(the)k(de)l(gr)l(e)l(e)g(asso)l(ciate)l(d)h
(with)g(a)f(value)g(to)g(al)t(l)h(the)f(sp)l(e)l(cializations)i(of)e
(that)g(value.)648 4526 y Fp(When)d(a)g(fuzzy)g(set)g(is)g(used)g(to)f
(represen)n(t)g(a)h(selection)f(criterion)g(de\014ned)h(on)g(a)g(hier-)
523 4625 y(arc)n(hized)d(sym)n(b)r(olic)g(de\014nition)i(domain,)e(the)
i(fuzzy)f(set)g(in)g(extension)g(is)g(computed)g(and)523
4725 y(used)d(to)g(searc)n(h)f(for)g(satisfying)g(answ)n(ers)g(in)h
(the)g(kno)n(wledge)f(base.)h(Note)g(that)g(this)g(mec)n(h-)523
4825 y(anism)28 b(of)f(transformation)g(of)g(a)h(fuzzy)g(set)g(in)g(in)
n(ten)n(tion)f(in)n(to)h(a)g(fuzzy)g(set)f(in)h(extension)523
4924 y(can)f(also)g(b)r(e)h(used)f(when)h(the)g(fuzzy)g(set)f(is)h
(used)g(to)f(represen)n(t)f(a)i(fuzzy)f(datum.)p eop
end
%%Page: 6 6
TeXDict begin 6 5 bop 523 232 a Fm(6)523 448 y Fh(The)29
b(answ)m(ers)39 b Fp(An)26 b(answ)n(er)d(to)i(a)f(query)h
Fg(Q)f Fp(m)n(ust)h(\(1\))g(satisfy)g(all)f(the)i(selection)e(criteria)
523 548 y(of)36 b Fg(Q)g Fp(in)g(the)g(meaning)f(of)h(de\014nition)h(5)
e(giv)n(en)g(b)r(elo)n(w)h(and)g(\(2\))g(asso)r(ciate)e(a)i(constan)n
(t)523 648 y(v)-5 b(alue)28 b(with)g(eac)n(h)e(pro)5
b(jection)27 b(attribute)h(of)f Fg(Q)p Fp(.)523 841 y
Fh(De\014nition)k(5)41 b Fp(Let)24 b Fg()f
Fp(b)r(e)i(a)e(selection)h(criterion)e(and)i(a)g(v)-5
b(alue)23 b Fg(v)2804 811 y Fd(0)2852 841 y Fp(of)h(the)g(attribute)523
941 y Fg(a)35 b Fp(stored)g(in)h(the)g(kno)n(wledge)e(base.)h(The)g
(selection)g(criterion)g Fg()g Fp(is)g(satis\014ed)
g(i\013)523 1040 y Fg(\005)7 b Fp(\()p Fg(v)s(;)14 b(v)754
1010 y Fd(0)778 1040 y Fp(\))23 b Fg(>)g Fp(0)k(in)h(the)g(meaning)f
(of)g(de\014nition)h(3.)648 1231 y(As)f(the)g(selection)g(criteria)f
(of)g(a)h(query)f(are)g(conjonctiv)n(e,)h(w)n(e)f(use)h(the)h
Fc(min)f Fp(op)r(erator)523 1331 y(to)h(compute)f(the)h(adequation)f
(degree)f(asso)r(ciated)h(with)h(the)g(answ)n(er.)523
1525 y Fh(De\014nition)j(6)41 b Fp(An)33 b Fh(answ)m(er)h
Fg(A)f Fp(to)g(a)f(query)g Fg(Q)p Fp(=)g Fe(f)p Fg(V)19
b Fp(,)32 b Fg(a)2402 1537 y Fo(1)2440 1525 y Fp(,)h
Fg(:)14 b(:)g(:)o Fp(,)33 b Fg(a)2692 1537 y Ff(l)2718
1525 y Fp(,)p Fg()p
Fp(,)g Fg(:)14 b(:)g(:)p Fp(,)523 1624 y Fg()p Fe(g)p Fp(,)g(is)g(a)g(set)g(of)g(tuples,)h(eac)n(h)e(of)
h(the)h(form)f Fe(f)p Fg(v)2316 1636 y Fo(1)2353 1624
y Fp(,)g Fg(:)14 b(:)g(:)p Fp(,)24 b Fg(v)2584 1636 y
Ff(l)2610 1624 y Fp(,)g Fg(ad)p Fe(g)p Fp(,)g(where)g
Fg(v)3110 1636 y Fo(1)3148 1624 y Fp(,)g Fg(:)14 b(:)g(:)p
Fp(,)24 b Fg(v)3379 1636 y Ff(l)523 1724 y Fp(corresp)r(ond)e(to)i(the)
h(crisp)e(or)g(fuzzy)i(v)-5 b(alues)23 b(asso)r(ciated)g(with)i(eac)n
(h)e(pro)5 b(jection)23 b(attribute)523 1823 y Fg(a)567
1835 y Fo(1)604 1823 y Fp(,)e Fg(:)14 b(:)g(:)p Fp(,)20
b Fg(a)832 1835 y Ff(l)878 1823 y Fp(of)h Fg(Q)p Fp(,)f(where)g(all)g
(the)h(selection)f(criteria)f Fg(a)2205 1835 y Ff(l)p
Fo(+1)2315 1823 y Fp(,)h Fg(:)14 b(:)g(:)p Fp(,)21 b
Fg(a)2543 1835 y Ff(m)2626 1823 y Fp(of)g Fg(Q)f Fp(are)f(satis\014ed)h
(with)523 1923 y(the)30 b(resp)r(ectiv)n(e)e(p)r(ossibilit)n(y)h
(degree)g Fg(\005)1782 1935 y Ff(l)p Fo(+1)1891 1923
y Fp(,)h Fg(:)14 b(:)g(:)p Fp(,)29 b Fg(\005)2162 1935
y Ff(m)2254 1923 y Fp(and)h(where)e Fg(ad)i Fp(is)f(the)h(adequation)
523 2023 y(degree)d(of)g(the)h(answ)n(er)e Fg(A)i Fp(to)g(the)g(query)e
Fg(Q)i Fp(de\014ned)g(as)f(follo)n(ws:)f Fg(ad)p Fp(=)p
Fg(min)2940 1993 y Ff(m)2940 2046 y(i)p Fo(=)p Ff(l)p
Fo(+1)3123 2023 y Fp(\()p Fg(\005)3224 2035 y Ff(i)3252
2023 y Fp(\).)523 2299 y Fi(3)112 b(The)38 b(Sym'Previus)g(XML)g(kno)m
(wledge)g(base)523 2509 y Fp(In)d(order)f(to)h(store)f(the)h
(information)f(retriev)n(ed)g(from)h(the)g(W)-7 b(eb)35
b(in)h(di\013eren)n(t)f(formats)523 2609 y(\(h)n(tml,)i(p)r(df,)h(xml,)
f(excel,)f(...\),)h(w)n(e)f(prop)r(ose)f(to)i(add)f(a)g(third)h(kno)n
(wledge)e(base)h(in)h(the)523 2708 y(Sym'Previus)f(kno)n(wledge)f
(base,)i(represen)n(ted)f(with)h(the)g(XML)g(format.)g(W)-7
b(e)37 b(prop)r(ose)523 2808 y(to)k(use)g(the)h(tree-based)e(mo)r(del)h
(as)g(the)h(one)f(prop)r(osed)f(in)h(the)h(Xyleme)f(Pro)5
b(ject)40 b([1,)523 2908 y(16])33 b(in)g(order)f(to)i(represen)n(t)e
(the)h(XML)h(kno)n(wledge)e(base)h(with)h(a)f(clear)f(formalization.)
523 3007 y(One)i(of)g(the)g(sp)r(eci\014cities)g(of)g(the)g(data)g
(stored)f(in)h(the)g(Sym'Previus)f(kno)n(wledge)g(base)523
3107 y(is)e(their)f(imprecision.)g(W)-7 b(e)31 b(prop)r(ose)f(an)g
(extension)g(of)h(the)g(tree-based)f(mo)r(del)g(in)h(order)523
3206 y(to)j(represen)n(t)f(suc)n(h)g(fuzzy)h(data.)g(First,)g(w)n(e)f
(brie\015y)h(giv)n(e)f(the)h(de\014nitions)g(of)g(the)h(tree-)523
3306 y(based)e(mo)r(del)h(used)f(to)g(represen)n(t)f(the)i(XML)g(kno)n
(wledge)e(base.)h(Second,)g(w)n(e)g(describ)r(e)523 3406
y(ho)n(w)g(to)h(represen)n(t)f(fuzzy)h(v)-5 b(alues)34
b(in)g(the)g(XML)g(kno)n(wledge)f(base.)g(Third,)h(w)n(e)g(presen)n(t)
523 3505 y(the)28 b(Sym'Previus)f(XML)g(kno)n(wledge)g(base.)523
3765 y Fh(3.1)95 b(Preliminaries)30 b(notions:)g(the)h(tree-based)h(mo)
s(del)523 3942 y Fp(In)c(the)h(tree-based)e(mo)r(del,)h(an)g(XML)g(kno)
n(wledge)f(base)g(is)h(a)g(set)g(of)g(data)f(trees,)h(eac)n(h)f(of)523
4042 y(them)h(represen)n(ting)e(an)i(XML)g(do)r(cumen)n(t.)523
4235 y Fh(De\014nition)j(7)41 b Fp(A)22 b Fh(data)k(tree)c
Fp(is)g(a)f(triple)h(\()p Fg(t)p Fp(,)h Fg(l)r Fp(,)e
Fg(v)s Fp(\))h(where)g Fg(t)f Fp(is)h(a)g(\014nite)g(tree,)f
Fg(l)j Fp(a)d(lab)r(elling)523 4335 y(function)i(that)h(assigns)d(a)h
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Fg(v)j Fp(a)d(partial)f(v)-5 b(alue)22 b(function)i(that)523
4434 y(assigns)i(a)h(v)-5 b(alue)28 b(to)f(no)r(des)h(of)f
Fg(t)p Fp(.)h(The)g(pair)e(\()p Fg(t)p Fp(,)i Fg(l)r
Fp(\))g(is)f(called)h(a)f Fh(lab)s(elled)j(tree)p Fp(.)648
4625 y(The)37 b(sc)n(hema)f(of)i(a)f(data)g(tree)g(is)g(de\014ned)h(b)n
(y)f(a)g Fh(t)m(yp)s(e)43 b(tree)37 b Fp(whic)n(h)h(is)f(a)g(lab)r
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y Ff(T)1721 4924 y Fp(,)g Fg(l)1797 4936 y Ff(T)1849
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Fg(h)p Fp(\()p Fg(n)p Fp(\).)523 847 y(The)g(mapping)g
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b Fp(if)j(and)f(only)g(if)h Fg(h)f Fp(is)g(a)g(strict)523
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Fp(of)h Fg(t)p Fp(,)523 1046 y Fg(l)r Fp(\()p Fg(n)p
Fp(\)=)p Fg(l)756 1016 y Fd(0)778 1046 y Fp(\()p Fg(h)p
Fp(\()p Fg(n)p Fp(\)\).)648 1225 y(The)g Fh(sc)m(hema)g
Fp(of)g(an)g(XML)g(kno)n(wledge)f(base)h(is)f(de\014ned)i(b)n(y)f(the)g
(set)g(of)g(t)n(yp)r(e)h(trees)523 1325 y(whic)n(h)d(are)e(asso)r
(ciated)g(with)j(the)f(data)f(trees)g(that)h(it)g(con)n(tains.)523
1571 y Fh(3.2)95 b(The)32 b(represen)m(tation)f(of)h(fuzzy)h(v)-5
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2211 y Fh(De\014nition)k(9)41 b Fp(Let)31 b Fg(f)39 b
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2311 y(whic)n(h)43 b(is)g(comp)r(osed)g(of)g(a)g(ro)r(ot)f(lab)r(elled)
i Fc(CFS)f Fp(and)g(comp)r(osed)g(of)g(four)g(lea)n(v)n(es)f(la-)523
2411 y(b)r(elled)27 b Fc(minSup)p Fp(,)g Fc(minKer)p
Fp(,)g Fc(maxKer)p Fp(,)g Fc(maxSup)f Fp(of)h(resp)r(ectiv)n(e)f(v)-5
b(alues)26 b(min\(supp)r(ort\()p Fg(f)9 b Fp(\)\),)523
2510 y(min\(k)n(ernel\()p Fg(f)g Fp(\)\),)28 b(max\(k)n(ernel\()p
Fg(f)9 b Fp(\)\))27 b(and)g(max\(supp)r(ort\()p Fg(f)9
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(wledge)g(base)h(in)f(the)691 4152 y(MIEL)d(system)523
4426 y Fp(In)32 b(order)e(to)h(ensure)g(a)g(uniform)h(in)n(terrogation)
d(of)j(Sym'Previus)e(kno)n(wledge)g(base,)h(w)n(e)523
4526 y(prop)r(ose)22 b(to)h(query)f(the)i(XML)g(kno)n(wledge)d(base,)i
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4625 y(b)n(y)31 b(means)g(of)g(the)h(MIEL)f(query)f(language.)g(In)h
(order)f(to)h(ensure)g(a)g(mapping)g(b)r(et)n(w)n(een)523
4725 y(the)38 b(MIEL)g(query)f(language)f(and)i(the)h(XML)f(subsystem)g
(of)g(the)g(MIEL)g(system,)f(w)n(e)523 4825 y(de\014ne)31
b(successiv)n(ely)e(the)j(on)n(tology)-7 b(,)29 b(the)i(views,)f(the)i
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1522 y(kno)n(wledge)h(base.)523 1702 y Fh(De\014nition)31
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b Fp(\()p Fg(t)2491 1714 y Ff(T)2544 1702 y Fp(,)g Fg(l)2624
1714 y Ff(T)2676 1702 y Fp(\))h(is)g(a)f(triple)g Fg(V)19
b Fp(=\()p Fg(t)3324 1714 y Ff(V)3382 1702 y Fp(,)523
1802 y Fg(l)548 1814 y Ff(V)605 1802 y Fp(,)33 b Fg(w)720
1814 y Ff(V)778 1802 y Fp(\))g(where)e(\()p Fg(t)1149
1814 y Ff(V)1207 1802 y Fp(,)i Fg(l)1288 1814 y Ff(V)1345
1802 y Fp(\))g(is)f(an)g(instance)g(of)g(\()p Fg(t)2107
1814 y Ff(T)2160 1802 y Fp(,)g Fg(l)2240 1814 y Ff(T)2293
1802 y Fp(\))g(and)g Fg(w)2582 1814 y Ff(V)2673 1802
y Fp(is)g(a)g(partial)f(function)523 1901 y(that)k(assigns)e(the)i(v)-5
b(alue)34 b Fg(q)s(l)i Fp(to)e(crisp)g(and)g(fuzzy)h(lea)n(v)n(es)e(of)
h Fg(t)2549 1913 y Ff(V)2607 1901 y Fp(,)g(indicating)h(that)f(suc)n(h)
523 2001 y(lea)n(v)n(es)26 b(are)h(query)n(able)f(ones.)523
2248 y Fh(4.3)95 b(The)32 b(queries)523 2412 y Fp(A)g(query)f(is)h(an)f
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(user,)h(b)n(y)f(sp)r(ecifying,)h(in)523 2512 y(the)27
b(set)f(of)h(query)n(able)d(lea)n(v)n(es)h(of)i(the)f(view,)h(whic)n(h)
f(are)f(the)i(selection)f(lea)n(v)n(es)f(and)h(whic)n(h)523
2611 y(are)h(the)h(pro)5 b(jection)26 b(lea)n(v)n(es)g(of)i(the)g
(query)-7 b(.)523 2792 y Fh(De\014nition)31 b(13)41 b
Fp(A)25 b Fh(query)g Fp(conform)f(to)g(a)g(t)n(yp)r(e)h(tree)f(\()p
Fg(t)2345 2804 y Ff(T)2398 2792 y Fp(,)g Fg(l)2470 2804
y Ff(T)2523 2792 y Fp(\))g(is)h(a)f(6-tuple)g Fg(Q)p
Fp(=\()p Fg(t)3197 2804 y Ff(Q)3253 2792 y Fp(,)h Fg(l)3326
2804 y Ff(Q)3382 2792 y Fp(,)523 2891 y Fg(w)582 2903
y Ff(Q)639 2891 y Fp(,)j Fg(p)732 2903 y Ff(Q)788 2891
y Fp(,)g Fg(s)878 2903 y Ff(Q)934 2891 y Fp(,)g Fg(w)r(s)1085
2903 y Ff(Q)1142 2891 y Fp(\))g(where:)581 3055 y({)41
b(\()p Fg(t)726 3067 y Ff(Q)783 3055 y Fp(,)28 b Fg(l)859
3067 y Ff(Q)915 3055 y Fp(,)g Fg(w)1025 3067 y Ff(Q)1081
3055 y Fp(\))g(is)g(a)f(view)g(conform)g(to)h(\()p Fg(t)1970
3067 y Ff(T)2022 3055 y Fp(,)g Fg(l)2098 3067 y Ff(T)2150
3055 y Fp(\);)581 3154 y({)41 b Fg(p)706 3166 y Ff(Q)792
3154 y Fp(is)30 b(a)g(partial)f(function)h(that)g(assigns)f(the)h(v)-5
b(alue)30 b Fg(pl)h Fp(to)f(query)n(able)e(lea)n(v)n(es)h(of)h(the)664
3254 y(view,)e(allo)n(wing)e(one)h(to)g(iden)n(tify)i(the)f
Fh(pro)5 b(jection)32 b(lea)m(v)m(es)27 b Fp(of)h(the)g(query;)581
3353 y({)41 b Fg(s)703 3365 y Ff(Q)790 3353 y Fp(is)30
b(a)g(partial)g(function)g(that)h(assigns)e(the)i(v)-5
b(alue)30 b Fg(sl)i Fp(to)e(query)n(able)f(lea)n(v)n(es)f(of)j(the)664
3452 y(view,)26 b(allo)n(wing)f(one)h(to)g(iden)n(tify)g(the)h
Fh(selection)i(lea)m(v)m(es)d Fp(of)g(the)h(query)-7
b(,)25 b(also)g(called)664 3552 y(selection)i(criteria;)581
3651 y({)41 b Fg(w)r(s)764 3663 y Ff(Q)854 3651 y Fp(is)32
b(a)g(partial)f(v)-5 b(alue)33 b(function)g(that)f(assigns)f(a)h(v)-5
b(alue)33 b(to)f(the)h(selection)f(lea)n(v)n(es)664 3751
y(of)d(the)h(query)-7 b(,)28 b(suc)n(h)h(that)g(the)g(v)-5
b(alue)29 b(assigned)f(to)h(a)g(crisp)f(leaf)h(is)g(an)g(atomic)f(v)-5
b(alue)664 3850 y(and)28 b(the)g(one)f(assigned)g(to)g(a)h(fuzzy)g
(leaf)f(is)h(a)f(data)h(tree)f(with)h(a)g(ro)r(ot)f(lab)r(elled)h(CFS)
664 3950 y(or)f(DFS)h(resp)r(ectiv)n(ely)f(conform)g(to)g
(de\014nitions)h(9)f(and)h(10.)648 4130 y(The)f(v)-5
b(alue)27 b(of)h(a)e(selection)h(criterion)g(giv)n(en)f(b)n(y)h(the)h
(\014nal)f(user)g(can)g(b)r(e)h(crisp)f(as)f(w)n(ell)523
4230 y(as)f(fuzzy)-7 b(.)26 b(In)f(the)h(second)f(case,)f(the)i(fuzzy)g
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4329 y(selection)i(criterion)g(whic)n(h)g(expresses)f(the)i
(preferences)f(of)g(the)h(\014nal)g(user.)523 4510 y
Fh(Example)j(4)42 b Fc(The)35 b(fol)t(lowing)h(query)e
Fg(Q)g Fc(\(se)l(e)g(\014gur)l(e)f(9\))i(expr)l(esses)f(that)g(the)g
(\014nal)g(user)523 4609 y(wants)43 b(to)h(obtain)h(the)e(germ,)i(the)f
(factor)g(name)g(and)g(the)g(substr)l(ate)f(fr)l(om)h(the)g(view)523
4709 y(Exp)p 665 4709 26 4 v 31 w(F)-6 b(actor.)30 b(Mor)l(e)l(over,)g
(the)f(fuzzy)g(value)g(assigne)l(d)h(by)f(the)g(\014nal)g(user)g(to)f
(the)h(sele)l(ction)523 4809 y(criterion)34 b(Substr)l(ate)d(c)l(an)i
(b)l(e)g(interpr)l(ete)l(d)g(as)g(\\he)g(wants)f(fr)l(esh)i(che)l(ese)f
(as)g(a)g(substr)l(ate,)523 4908 y(but)c(he)h(also)h(ac)l(c)l(epts)f
(soft)g(che)l(ese)h(but)e(with)h(a)h(lower)f(inter)l(est".)p
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3750 2400 m
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3450 3000 m
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1350 2625 m
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@endspecial 523 1721 a Fj(Fig.)14 b(9.)24 b Fm(Query)f
Fb(Q)h Fm(in)g(the)g(view)h(Exp)p 1632 1721 24 4 v 27
w(F)-6 b(actor)25 b(whic)n(h)f(con)n(tains)h(the)f(results)h(of)g(the)f
(e\013ect)h(of)g(one)523 1812 y(factor)i(in)f(biological)i(exp)r
(erimen)n(ts)523 2095 y Fh(Remark)k(3)41 b Fc(When)g(a)g(fuzzy)g(set)f
(is)h(use)l(d)f(to)h(r)l(epr)l(esent)f(a)h(fuzzy)g(sele)l(ction)g
(criterion)523 2195 y(de\014ne)l(d)31 b(on)g(a)h(hier)l(ar)l(chize)l(d)
h(symb)l(olic)f(de\014nition)g(domain,)g(the)g(fuzzy)f(set)f(in)h
(extension)523 2294 y(is)h(c)l(ompute)l(d)h(and)f(use)l(d)g(to)g(se)l
(ar)l(ch)h(for)f(satisfying)i(answers)e(in)g(the)g(know)t(le)l(dge)i(b)
l(ase)f(as)523 2394 y(se)l(en)d(in)f(subse)l(ction)h(2.2.)523
2640 y Fh(4.4)95 b(The)32 b(answ)m(ers)523 2802 y Fp(An)i(answ)n(er)e
(to)i(a)f(query)g Fg(Q)g Fp(m)n(ust)g(\(1\))h(satisfy)f(all)h(the)g
(selection)f(criteria)f(of)i Fg(Q)f Fp(in)h(the)523 2902
y(meaning)28 b(of)h(de\014nition)g(5)f(and)g(\(2\))h(asso)r(ciate)e(a)h
(constan)n(t)g(v)-5 b(alue)28 b(with)h(eac)n(h)f(pro)5
b(jection)523 3001 y(leaf)32 b(of)g Fg(Q)p Fp(.)g(The)h(searc)n(h)e(of)
h(the)g(answ)n(ers)f(to)h(a)g(query)f(in)i(an)f(XML)h(kno)n(wledge)d
(base)i(is)523 3101 y(made)22 b(through)g(the)h(v)-5
b(aluation)23 b(of)f(the)h(query)f(on)g(the)h(data)g(trees)f(of)g(the)h
(kno)n(wledge)f(base)523 3201 y(as)27 b(de\014ned)h(b)r(elo)n(w.)523
3379 y Fh(De\014nition)j(14)41 b Fp(Let)26 b Fg(Q)p Fp(=\()p
Fg(t)1446 3391 y Ff(Q)1502 3379 y Fp(,)g Fg(l)1576 3391
y Ff(Q)1632 3379 y Fp(,)g Fg(w)1740 3391 y Ff(Q)1797
3379 y Fp(,)g Fg(p)1888 3391 y Ff(Q)1944 3379 y Fp(,)g
Fg(s)2032 3391 y Ff(Q)2088 3379 y Fp(,)g Fg(w)r(s)2237
3391 y Ff(Q)2294 3379 y Fp(\))g(b)r(e)g(a)g(query)f(conform)g(to)g(a)h
(t)n(yp)r(e)523 3479 y(tree)34 b Fg(T)12 b Fp(=\()p Fg(t)884
3491 y Ff(T)935 3479 y Fp(,)34 b Fg(l)1017 3491 y Ff(T)1069
3479 y Fp(\))h(and)f Fg(D)r Fp(=\()p Fg(t)1502 3491 y
Ff(D)1562 3479 y Fp(,)g Fg(l)1644 3491 y Ff(D)1704 3479
y Fp(,)h Fg(v)1802 3491 y Ff(D)1862 3479 y Fp(\))g(b)r(e)f(a)g(data)g
(tree)f(instance)h(of)g(the)h(t)n(yp)r(e)f(tree)523 3578
y Fg(T)12 b Fp(.)39 b(A)g Fh(v)-5 b(aluation)40 b Fp(of)f
Fg(Q)g Fp(with)h(resp)r(ect)f(to)h Fg(D)h Fp(is)e(a)g(mapping)g
Fg(\033)2677 3590 y Ff(D)2778 3578 y Fp(from)g(the)g(tree)h
Fg(t)3349 3590 y Ff(Q)523 3678 y Fp(of)d Fg(Q)g Fp(in)n(to)g(the)h
(tree)e Fg(t)1266 3690 y Ff(D)1364 3678 y Fp(of)h Fg(D)i
Fp(suc)n(h)e(that)h(\(1\))f Fg(\033)2153 3690 y Ff(D)2251
3678 y Fp(is)g(a)g(strict)g(t)n(yp)r(e)g(homomorphism)523
3777 y(from)42 b(\()p Fg(t)796 3789 y Ff(Q)852 3777 y
Fp(,)h Fg(l)943 3789 y Ff(Q)999 3777 y Fp(\))f(in)n(to)g(\()p
Fg(t)1318 3789 y Ff(D)1378 3777 y Fp(,)h Fg(l)1469 3789
y Ff(D)1529 3777 y Fp(\))f(and)g(\(2\))g Fg(\033)1974
3789 y Ff(D)2077 3777 y Fp(satis\014es)f(eac)n(h)g(selection)h
(criterion)f Fg(n)3347 3747 y Ff(i)3347 3798 y(s)3382
3777 y Fp(,)523 3877 y Fg(i)34 b Fe(2)h Fp([1)p Fg(;)14
b(m)p Fp(],)35 b(of)f Fg(Q)h Fp(with)g(the)g(p)r(ossibilit)n(y)f
(degree)f Fg(\005)7 b Fp(\()p Fg(w)r(s)2355 3889 y Ff(Q)2413
3877 y Fp(\()p Fg(n)2495 3847 y Ff(i)2495 3898 y(s)2530
3877 y Fp(\))p Fg(;)14 b(v)2639 3889 y Ff(D)2700 3877
y Fp(\()p Fg(\033)2779 3889 y Ff(D)2840 3877 y Fp(\()p
Fg(n)2922 3847 y Ff(i)2922 3898 y(s)2957 3877 y Fp(\)\)\).)36
b(The)f(ad-)523 3977 y(equation)28 b(degree)f(of)i(the)g(data)f(tree)g
Fg(D)j Fp(to)d(the)h(query)f Fg(Q)g Fp(through)g(the)h(v)-5
b(aluation)28 b Fg(\033)3260 3989 y Ff(D)3349 3977 y
Fp(is)523 4076 y Fg(ad)610 4088 y Ff(D)670 4076 y Fp(=)p
Fg(min)887 4091 y Ff(i)p Fd(2)p Fo([1)p Ff(;m)p Fo(])1108
4076 y Fp(\()p Fg(\005)7 b Fp(\()p Fg(w)r(s)1348 4088
y Ff(Q)1405 4076 y Fp(\()p Fg(n)1487 4046 y Ff(i)1487
4097 y(s)1523 4076 y Fp(\))p Fg(;)14 b(v)1632 4088 y
Ff(D)1693 4076 y Fp(\()p Fg(\033)1772 4088 y Ff(D)1833
4076 y Fp(\()p Fg(n)1915 4046 y Ff(i)1915 4097 y(s)1950
4076 y Fp(\)\)\)\).)648 4255 y(W)-7 b(e)22 b(can)g(no)n(w)f(giv)n(e)g
(the)h(de\014nition)h(of)f(an)g(answ)n(er)e(to)i(a)g(query)f(in)h(an)g
(XML)g(kno)n(wledge)523 4354 y(base.)32 b(An)h(answ)n(er)d(is)j(a)f
(set)g(of)g(tuples,)h(eac)n(h)e(tuple)i(corresp)r(onding)e(to)h(a)g
(set)g(of)g(v)-5 b(alues)523 4454 y(giv)n(en)27 b(to)g(eac)n(h)g(pro)5
b(jection)27 b(leaf)g(of)h(the)g(query)-7 b(.)523 4616
y Fh(De\014nition)31 b(15)41 b Fp(An)26 b Fh(answ)m(er)h
Fp(to)f(a)g(query)f Fg(Q)p Fp(=\()p Fg(t)2143 4628 y
Ff(Q)2199 4616 y Fp(,)h Fg(l)2273 4628 y Ff(Q)2330 4616
y Fp(,)g Fg(w)2438 4628 y Ff(Q)2495 4616 y Fp(,)g Fg(p)2586
4628 y Ff(Q)2642 4616 y Fp(,)g Fg(s)2730 4628 y Ff(Q)2787
4616 y Fp(,)g Fg(w)r(s)2936 4628 y Ff(Q)2993 4616 y Fp(\))h(comp)r
(osed)523 4716 y(of)f Fg(m)g Fp(pro)5 b(jection)25 b(lea)n(v)n(es)g
(noted)h Fg(n)1624 4686 y Fo(1)1624 4737 y Ff(p)1662
4716 y Fp(,)g Fg(:)14 b(:)g(:)p Fp(,)27 b Fg(n)1908 4686
y Ff(m)1908 4737 y(p)1997 4716 y Fp(in)f(an)g(XML)g(kno)n(wledge)f
(base)h Fe(K)q(B)i Fp(is)e(a)g(set)523 4825 y(of)k(tuples,)g(eac)n(h)f
(tuple)h(b)r(eing)g(de\014ned)g(as)f(follo)n(ws:)g Fe(f)h([)2336
4795 y Ff(m)2336 4846 y(i)p Fo(=1)2478 4825 y Fg(v)2518
4837 y Ff(D)2578 4825 y Fp(\()p Fg(\033)2657 4837 y Ff(D)2718
4825 y Fp(\()p Fg(n)2800 4795 y Ff(i)2800 4845 y(p)2838
4825 y Fp(\)\))h Fe([)f Fg(ad)3105 4837 y Ff(D)3195 4825
y Fe(j)g Fg(D)i Fp(is)523 4924 y(a)27 b(data)g(tree)h(of)f
Fe(K)q(B)j Fp(and)e Fg(\033)1400 4936 y Ff(D)1488 4924
y Fp(is)g(a)f(v)-5 b(aluation)27 b(of)g Fg(Q)h Fp(with)g(resp)r(ect)f
(to)h Fg(D)r Fe(g)p Fp(.)p eop end
%%Page: 12 12
TeXDict begin 12 11 bop 523 232 a Fm(12)523 448 y Fh(Example)31
b(5)42 b Fc(The)30 b(answer)f(to)h(the)f(query)h Fg(Q)f
Fc(of)h(\014gur)l(e)e(9)i(in)g(the)f(XML)g(know)t(le)l(dge)i(b)l(ase)
523 548 y(of)h(\014gur)l(e)e(7)h(is:)h Fe(f)p Fc(\(1/F)-6
b(r)l(esh)31 b(che)l(ese,)h(0.5/Camemb)l(ert\),)i(Bacil)t(lus)e(c)l(er)
l(eus,)f(T)-6 b(emp)l(er)l(atur)l(e)523 648 y(of)31 b(c)l(onservation,)
g(ad=1.0)p Fe(g)p Fc(.)523 915 y Fi(5)112 b(Conclusion)523
1117 y Fp(In)30 b(this)g(article,)g(w)n(e)f(ha)n(v)n(e)g(de\014ned)h
(the)h(basic)e(framew)n(ork)f(of)i(a)g(new)g(subsystem)f(in)i(the)523
1216 y(MIEL)f(system,)f(the)i(XML)f(subsystem,)g(in)g(order)f(to)h
(store)f(the)h(information)f(retriev)n(ed)523 1316 y(from)36
b(the)h(W)-7 b(eb)36 b(in)h(the)g(\014eld)f(of)g(predictiv)n(e)g
(microbiology)-7 b(.)34 b(The)j(XML)f(subsystem)g(is)523
1416 y(comp)r(osed)26 b(of)g(an)g(XML)h(kno)n(wledge)d(base)i(whic)n(h)
g(had)g(to)h(tak)n(e)e(in)n(to)h(accoun)n(t)g(the)g(sp)r(eci-)523
1515 y(\014cities)21 b(of)h(the)f(kno)n(wledge)f(stored)h(in)g(the)h
(Sym'Previus)e(kno)n(wledge)g(base)g(and)h(had)g(to)h(b)r(e)523
1615 y(able)h(to)h(b)r(e)g(queried)f(b)n(y)h(means)f(of)h(the)g(MIEL)f
(query)g(language,)f(this)i(in)g(order)e(to)i(ensure)523
1715 y(its)h(in)n(tegration)e(in)h(the)h(MIEL)f(system.)h(W)-7
b(e)24 b(ha)n(v)n(e)g(c)n(hosen)f(to)i(use)f(the)h(tree-based)e(mo)r
(del)523 1814 y(in)k(order)f(to)h(represen)n(t)f(the)i(XML)f(kno)n
(wledge)f(base.)h(W)-7 b(e)27 b(ha)n(v)n(e)f(prop)r(osed)h(an)f
(extension)523 1914 y(of)34 b(the)g(tree-based)e(mo)r(del)i(prop)r
(osed)f(in)h(the)g(Xyleme)g(pro)5 b(ject)33 b(\(see)h([16]\))f(in)h
(order)e(to)523 2013 y(represen)n(t)21 b(imprecise)h(data)g(expressed)g
(as)g(p)r(ossibilit)n(y)g(distribution)h(in)f(the)h(XML)g(kno)n(wl-)523
2113 y(edge)29 b(base.)f(W)-7 b(e)30 b(ha)n(v)n(e)e(also)g(adapted)h
(the)h(tree-based)d(mo)r(del)j(in)f(order)f(to)h(allo)n(w)f(one)h(to)
523 2213 y(query)f(the)h(XML)f(kno)n(wledge)f(base)h(b)n(y)g(means)g
(of)h(the)g(MIEL)f(query)f(language.)g(Conse-)523 2312
y(quen)n(tly)-7 b(,)29 b(w)n(e)f(ha)n(v)n(e)f(prop)r(osed)h(an)g(XML)h
(querying)f(language)f(adding)h(\015exibilit)n(y)g(on)h(the)523
2412 y(searc)n(hed)i(v)-5 b(alues)32 b(in)h(the)g(lea)n(v)n(es)e(\()i
(selection)f(criteria)f(expressing)g(preferences,)h(prefer-)523
2512 y(ences)d(in)g(extension)f(for)g(selection)h(criteria)e(de\014ned)
j(on)e(sym)n(b)r(olic)g(de\014nition)i(domains,)523 2611
y(fuzzy)g(pattern)g(matc)n(hing)f(to)h(compare)f(selection)g(criteria)g
(to)h(data\).)f(A)n(t)i(the)f(momen)n(t,)523 2711 y(the)21
b(XML)h(querying)d(subsystem)i(has)f(b)r(een)i(implemen)n(ted)f(in)g
(Ja)n(v)-5 b(a.)20 b(W)-7 b(e)21 b(ha)n(v)n(e)f(used)h(XML)523
2810 y(Sc)n(hema)k(to)g(de\014ne)g(the)h(sc)n(hemas)e(\(called)h(t)n
(yp)r(e)g(trees)g(in)g(this)h(article\))e(of)h(the)h(XML)f(do)r(c-)523
2910 y(umen)n(ts)k(of)g(the)g(kno)n(wledge)e(base,)h(the)h(sc)n(hemas)f
(of)h(the)g(on)n(tology)e(and)h(the)h(sc)n(hemas)f(of)523
3010 y(the)d(views.)f(W)-7 b(e)25 b(ha)n(v)n(e)f(used)g(X)n(Query)g(to)
g(query)g(the)h(kno)n(wledge)e(base)h(and)h(to)f(obtain)h(the)523
3109 y(answ)n(ers.)f(The)h(kno)n(wledge)f(base)h(can)g(b)r(e)h(queried)
e(b)n(y)i(a)e(\014nal)i(user)e(through)h(an)g(In)n(ternet)523
3209 y(bro)n(wser.)648 3309 y(As)35 b(men)n(tioned)h(in)f(the)h(in)n
(tro)r(duction,)g(w)n(e)f(mak)n(e)f(in)i(this)g(article)f(the)h
(assumption)523 3409 y(that)e(XML)f(data)g(\014t)h(XML)g(sc)n(hemas)e
(whic)n(h)h(are)f(used)i(in)f(the)h(querying)e(pro)r(cess.)h(W)-7
b(e)523 3508 y(ha)n(v)n(e)19 b(ev)-5 b(aluated)19 b(this)h(\014rst)g(v)
n(ersion)e(of)i(our)f(new)h(XML)g(subsystem)g(b)n(y)f(creating)g(man)n
(ually)523 3608 y(XML)29 b(do)r(cumen)n(ts)g(c)n(hec)n(king)e(this)i(h)
n(yp)r(othesis.)f(Our)g(next)h(step)g(will)g(b)r(e)g(to)g(study)g(w)n
(a)n(ys)523 3708 y(to)21 b(relax)f(this)i(assumption)e(b)n(y)h(in)n
(tro)r(ducing,)g(for)f(example,)h(\015exibilit)n(y)g(on)g(the)h(tree)f
(query)523 3807 y(structure)e(or)h(similarit)n(y)f(relationships)f(on)i
(tree)g(lab)r(els.)g(The)g(design)f(of)h(this)g(next)h(v)n(ersion)523
3907 y(will)38 b(b)r(e)f(guided)g(b)n(y)g(the)h(prop)r(erties)e(of)i
(the)f(p)r(ertinen)n(t)h(XML)g(do)r(cumen)n(ts)f(whic)n(h)g(are)523
4006 y(retriev)n(ed)26 b(semi-automatically)g(from)i(the)g(W)-7
b(eb.)523 4274 y Fi(References)561 4467 y Fm(1.)43 b(V.)35
b(Aguil)n(\023)-36 b(era,)38 b(S.)e(Cluet,)g(P)-6 b(.)36
b(V)-6 b(etri,)36 b(D.)g(V)-6 b(o)r(disla)n(v,)36 b(and)g(F.)g(W)-6
b(attez,)37 b Fa(Querying)g(the)h(xml)663 4559 y(do)l(cuments)g(on)e
(the)h(web)p Fm(,)e(Pro)r(ceedings)i(of)f(the)e(A)n(CMSIGIR)g(W)-6
b(orkshop)35 b(on)f(XML)h(and)663 4650 y(I.R.)25 b(\(A)n(thens\),)g
(July)h(2000.)561 4742 y(2.)43 b(S.)20 b(Amer-Y)-6 b(ahia,)19
b(SungRan)g(Cho,)i(and)f(Div)n(esh)g(Sriv)l(asta)n(v)l(a,)g
Fa(T)-6 b(r)l(e)l(e)23 b(p)l(attern)i(r)l(elaxation)p
Fm(,)d(Pro-)663 4833 y(ceedings)30 b(of)h(the)e(8th)g(In)n(ternational)
h(Conference)h(on)f(Extending)f(Database)h(T)-6 b(ec)n(hnology)663
4924 y(\(EDBT)26 b(2002\),)h(2002.)p eop end
%%Page: 13 13
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b(G.)37 b(Bordogna)h(and)e(G.)h(P)n(asi,)i Fa(A)e(fuzzy)h(obje)l(ct)h
(oriente)l(d)g(data)g(mo)l(del)f(managing)g(vague)663
540 y(and)25 b(unc)l(ertain)h(information)p Fm(,)c(In)n(ternational)h
(Journal)h(of)f(In)n(telligen)n(t)f(Systems)g Fj(14)h
Fm(\(1999\),)663 631 y(no.)j(6,)g(SCI)f(3495.)561 717
y(4.)43 b(Gloria)24 b(Bordogna)f(and)f(Gabriella)i(P)n(asi,)g
Fa(Flexible)g(querying)i(of)e(web)h(do)l(cuments)p Fm(,)f(Pro)r(ceed-)
663 809 y(ings)g(of)h(the)e(A)n(CM)i(Symp)r(osium)e(Applied)g
(Computing)i(\(Madrid,)f(Spain\),)g(2002,)i(pp.)d(675{)663
900 y(680.)561 986 y(5.)43 b(P)-6 b(.)24 b(Bosc,)h(L.)g(Lietard,)g(and)
e(O.)h(Piv)n(ert,)h Fa(Soft)h(querying,)h(a)f(new)h(fe)l(atur)l(e)g
(for)f(datab)l(ase)i(man-)663 1078 y(agement)36 b(system)p
Fm(,)f(Pro)r(ceedings)h(DEXA'94)d(\(Database)i(and)e(EXp)r(ert)g
(system)h(Applica-)663 1169 y(tion\),)29 b(Lecture)h(Notes)f(in)h
(Computer)f(Science)h(#856,)g(Springer-V)-6 b(erlag,)30
b(1994,)h(pp.)e(631{)663 1260 y(640.)561 1346 y(6.)43
b(P)n(atric)n(k)30 b(Bosc,)h(L.)f(Lietard,)g(and)f(Olivier)i(Piv)n
(ert,)f Fa(F)-6 b(uzziness)32 b(in)f(Datab)l(ase)i(Management)663
1438 y(Systems)p Fm(,)e(c)n(h.)e(F)-6 b(uzzy)28 b(theory)h(tec)n
(hniques)g(and)g(applications)h(in)g(data-base)f(managemen)n(t)663
1529 y(systems,)d(pp.)f(666{671,)k(Academic)d(Press,)h(1999.)561
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Fm(\(1978\),)j(3{28.)p eop end
%%Trailer
userdict /end-hook known{end-hook}if
%%EOF