一种有效地解决冲突证据的组合方法.doc
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1、一种有效地解决冲突证据的组合方法163?D2021?s1?DU?U?U?U?U?U?U?U?U?U?U?U?U?U?U?G?A?EShipElectronicEngineeringU?U?U?U?U?U?U?U?U?U?U?U?U?U?Vol.28No.1U?U?14U?/?i?F?U?h?3(?y?E?K?h?7?V?JU?U?264001)?U?U?/?i?F?h?,?/?G?h?r?U6?G?S?v?z?t?/?/?7?1?,?+?7?1?/?N?c?2/y?K?/?,?8K?/?K?/?v?,?/b?v?w?c?d?aPCR5?)?K?hU6/c?,?h?r?F?,?h?r?8?U6?
2、u?U?DSmT;?;?S?v/b?8?U?TN951U?.?D-S?8?6?h/?F?K?h,?l/V?a/e?z?U1?&?h?iK(?,?l?h/?8?EU6KW?a?D?/E?8?K,/?D/c?,?N?,?0?O?G?1,10,11U6Dezert?Smarandache?q?/?Dezert-SmarandacheTheory2?5U6?zK(?7?D?i?F?U?2?8/e?U1/e?K?U6KW?7?a?,?/E?-?7?v/y?,/+?v?&?Y?/?D?B?,?f?F?/e?7?c?<U6?/?,Dezert?Smarandache?/?/?r?K?8
3、?Z?)Propor2tionalConflictRedistributionRules(PCRrules)9,?aPCR1?)U1PCR2?)U1PCR3?)U1PCR4?)?PCR5?)?h?U6/?PCR1?)?UPCR5?)?/?E?)?7?e?k?8?Z?7?U6?i?Dezert-SmarandacheTheory?h?F?/eK?,?,?0?O/?V?G?6,7,KW?/?i?3?2/y?/&?/?,?K?h?F?/eK?U6?/?,?s?hPCR5?)?d?a?/y?v?/?7?1?/y?v?&/?/e?l?v?Y,?O?6?v?h,?l?h?T?O?G?,?U
4、/?h?F?U62U?s?8?2.1U?DSmT?s?R?DSmT?/?/y?J?=?7?k?DU?U6U=3?1,;?,3?N?7/?/y?=N/y?x?v?m?r?i?h(?/&/?W?)U6?k?DU?7?,?W?U/b?v?m?O?(;y)?/?(;d)?/?D?h,?/i/y?/?2U6?/?q,?a?/?/?U/?DSmT?s?8,?K?3?u2?5U6?/I1U?/?/y?W?U,?s?m(?):DUT?0,1,/c?z?i?,?/V?7?1?sK?,?/E?4?/?:m(3?)=0(1);oA;hDUm(A)=1(2)?m(A)?7A?/I?sK?/?&?Y(g
5、bba)?N?0?/A?/I?s?U6?/I2U?(DSmT?h?)?w?W?U/p?z?a/e?l?/-/y?A?B,?v?8?f/Ai?3:2007?7?h30?,K?D:2007?9?h20?:?B?Q?(?N?:60572161)?;?K(?K?0/g?Q?Q?(?N?:200036;3)?U6K?0?/?/x?,?,?V?D,?V?o?T?t?fU1?U6?9,?,?,?V?o?,Km?D?K?hU1?U1?2?8U1?T?t?fU6K?,?j,?,?,?D?h,?V?o?,Km?D?K?hU1?,?S?yU1?T?t?fU1?6?&?U1?8?3?&?8?a?IU6
6、20027:Bj,?s?&?Y?8?f/m1(Ai)?m2(Bj),?)?i?/EDSmT?h?):m(X)=0X=3?;oA,B;hDU,Ai;dBj=Xm1(Ai)m2(Bj),X;?3?(3)?=/?DSmTK?/?v,/e?8?s?&?Y?O?w?8?Z,?J/?)/e?D-S?8?j?O?/?N,?lm(X)?/?/?/y?s?&?Y?U6?/?,/y?h,?a?h?)?O/-/-?hU62.2U?PCR5?)?/?q,?a?/?/?U/?PCR5?),?K?3?u9U6?/?/-/y?:X;hGU3?mPCR5(X)=m12(X)+;oY;hGUXc(X;d
7、Y)=3?m1(X)2m2(Y)m1(X)+m2(Y)+m2(X)2m1(Y)m2(X)+m1(Y)(4)?/b,m12(X)?/?/-/y?aX/p?r?,?J?i?8?/e/?,GU?/?7?k?N?7?k?/?o/?2?8?T?U6c(X)?7X?3?t,?t/b?J?i?h?7?3?T?t,?h?t?/m12(X)?X1,X2;hGUX1;dX2=Xm1(X1)m2(X2)U6/<K?:?X=(A;dB);d(A;yB;yC),?)c(X)=A;dBU6?8?/?,?)?8?=/e?a?/bU63U?G?c?h?r?s?o/?/?/y?h?,?a?m3x?v?K?/?,?l?3?
8、/i/y?,?r?h?r?R?/y?U1?/?R?s?K?/?/?2/y?/&?/?U6?X?R?7:?Km?D?J?B?,/y?i/e?l?v?,?/?/y?J?7?1,?)?K?,?v?/?z,?h?/?z;?/&,?/?/y?/c?z,?)?K?/?K/,?v?/?K/,?h?/?tU6?,?K?/?,?s?&?Y?O?v?c,?d?aPCR5?)?v?On-1?T?hU6?i?f?W?U=3?,;?,3?N,GU/U?J?i?r?h,?h?/?7?k?U/?/?7?k?DU?/+?/?o/?2?8?T?U6?in/y?m1,m2,;?,mnU6?a?S?f/b,
9、?8?S/?s?,?S?v?h?7U=3?1,;?,3?N,/c?f?W?h?lU6?/b?3?i(i=1,2,;?,N)?/U?/?/y?S?v,?S?v?7?S?f/b?h?N?-?U6?h?,?84/y?:(1)?F?/I?S?v?K?m3x(Aj)m3x(Aj)=;oNj=1AjBjm3x(Bj)?1mNBjmNx=1,2,;?,n(5)?/b,mNBjmN?Bj?;Aj;hU/?S?v;Bj;hGUU6/?t(5)?/?E?,?S?v?K?/&?/1,?;oNj=1m3x(Aj)=1,?t?/I1/b?t(1)?t(2)U6(2)?m3x?m3y?S?vAj?/?7?1?dx
10、y(Aj)dxy(Aj)=1-m3x(Aj)-m3y(Aj)(6)?/b:x;?y;x,y=1,2,;?,n;j=1,2,;?,NU6?/-?Aj?7?1?,?/?7?1?z,dxy(Aj)=1U6?/-?Aj?7?1?E?i?,dxy(Aj)<1,/V?z,dxy(Aj)?Y?/?U6(3)?K?m3x?S?vAj?+?7?1?Supx?K?/?CrexSupx(Aj)=;tny=1x;?ydxy(Aj)(7)?/bx,y=1,2,;?,n,j=1,2,;?,NU6?t(7)?/?E?:?K?m3x?7?1?Supx?m?7m3x?J?7?1?E?,?7?KY?z?&?U6?/
11、?/y?K?/c?K?KY,?)?/?/?/?7?1?E?/?,?/?/?7?1?U6?/?/y?/c?KY?E?K/,?)?/?/?/?7?1?E?/?K/U6?8?7?1?/?N?c?=?UK?/?,K?/?m?7?/?/y?K?/?E?U6/?s?/,/?/y?J?7?1?E?,?=?K?/?U6?/?/y?/e?J?7?1,?)?/?K?/?K/U6?a?k?/?/y?m3x?7?1?c,?/?m3x?K?/?Crex/:Crex(Aj)=Supx(Aj);onx=Sx(j)U?j=1,2,;?,N(8)?/?E?;ox=x=,/?=?7?K?/?x?/?K?512021?s1?DU?
12、U?U?U?U?U?U?U?U?U?U?U?U?U?U?U?U?U?U?G?A?EU?U?U?U?U?U?U?U?U?U?U?U?U?U?121upAn1Cre1Crem3x?v?U6(4)?J?i?S?v?h?r?v?w?/?N?U?h?r?mm(Aj)=;onx=1Crex(Aj)?m3x(Aj)U?j=1,2,;?,N(9)m(Aj)=mm(Aj);ojmm(Aj)U?j=1,2,;?,N(10)4U?Y?K?/E?o/?/?/y?K?,?,?Dempster?8U1Yager?h?)10U1?1U1DSmT?2U1PCR5?)9?O?c?K(?zU6K?1:?aShafer?T?/E?
13、h?,?i5/y?/E,?/bm(A)U1m(B)?m(C)?f?SAU1B?C?s?&?Y?U6m1:m1(A)=0.5,m1(B)=0.2,m1(C)=0.3;m2:m2(A)=0,m2(B)=0.9,m2(c)=0.1;m3;m3(A)=0.55,m3(B)=0.1,m3(C)=0.35;m4:m4(A)=0.55,m4(B)=0.1,m4(C)=0.35;m5:m5(A)=0.55,m5(B)=0.1,m5(C)=0.35U6?=/?Km?D?K?2?I?m?m?r?B?m2/e?,/V/c?/y?,/?/?-?,?/?7?1?SA?E?7?1?SB?C?E?z,?h?c?8?
14、Z?Ym(A)?zU6?2/y?h?4?a?1U6Dempster?Yager?h?)?)?-,?i?F?2?8?,m(A)?/0,?x?/?c?B?U?7?7?1?SA?,?=/?m2?/?A,?/e?/?f?S?7A,?q?8?c/?Dempster?Yager?h?)/e?i?F?2?8?U6?u1?J?m(A)?q?t,?c/?a?O?U1?,?7?s?)?h?a?U6?aShafer?T?/E?aDSmT?h?,?o/?a?hDSm?h?),?h?c?U?m(A)?Y?J?7?1?SA?l?,?x?s/?/y?h?E?c,()?(X)?Y?e?i/?o,KW/?f?SU6?8?7?8
15、?/E?v?,?&?Y?/?8?l?m?r?/e?B?,?J/?J?7?1A?,?h?cA?&?Y?l?i/?/E?Z?,KW?7?7?1A?+K?7?F/p?w?U6PCR5?)?J?,?f?SA?,?F?8?U1Yager?h?)U1?u1U1DSmT?,?l/V?F?/?PCR5?)U6?O/?i?F?v?2?8,/?s/i/y?h?,?s?&?Ym(A)?z/?/?Y,/c?-?+?h,?J?7?1A?,?h?cm(A)?z?D?c?<?/?/?,?c?/b?J?B?z?/?U6?1U?m1,m2m1,m2,m3m1,m2,m3,m4m1,m2,m3,m4
16、,m5D-S?h?)m(A)0000m(B)0.85710.63160.32880.1228m(C)0.14290.36840.67120.8772?hDSm?h?)m(A)00.2750.3918750.390528m(B)0.180.0920.05790.025375m(C)0.030.12950.18690.165244m(A;yB)0.450.0990.07810.071033m(A;yC)0.050.01650.1674750.239951m(B;yC)0.290.0660.045150.038955m(A;yB;yC)00.3220.07260.068914?u10m(A)0000
17、m(B)0.180.0180.00180.00018m(C)0.030.01050.003680.00129m(X)0.790.97150.994520.99853?u1m(A)0.0900.1600.1940.211m(B)0.3770.2021.1600.138m(C)0.1020.1250.1370.144m(X)0.4310.4860.5090.507PCR5?)m(A)0.202380.369970.510130.61542m(B)0.685120.448230.257940.12474m(C)0.11250.18180.231930.25985?m(A)0.203990.55954
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