基于MATLAB的模糊聚类分析及应用

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MATLAB(,512005):MATLAB,.:;;MATLAB:O242:A:1007-5348(2006)09-0001-04MATLAB,,.,MATLAB[1].1.,,.1.1()X={x1,x2,......,xn},n,xi(xi1,xi2,......,xim).R,rij,:xixj.rij,,[2]:rij=1-cmk=1|xik-xjk|,0c1,c,rij[0,1].1.2(),o::A=(aij)nm,B=(bjk)m1,C=AoB=(cik)n1,cik=mj=1(aijbjk).:(),().,:R,,R2,R4,,R2t,,RkoRk=Rk,Rk=(tij),t(R).t(R)=(tij),0tij1(i,j=1,2,...,n),tij().:R=(ij),:ij=1tij0tij(i,j=1,2,...,n),:2006-02-19:(1963-),,,,.20069Sep.2006279JournalofShaoguanUniversityNaturalScienceVol.27No.9Rt(R).RX={x1,x2,......,xn}.X,R[2].,X={x1,x2,......,xn}(),,R.2MATLAB,MATLAB.8:X={x1,x2,,x8},:xi=(xi1,xi2),i=1,2,...,8;xi1,xi2[3].8.:x1={0.40000.0001}x2={0.40000.1304}x3={0.80001.1531}x4={1.00001.0854}x5={0.80000.6000}x6={0.80000.5625}x7={0.60000.4545}x8={0.60000.0476}2.1c=0.5,,R:R=1.000.930.220.160.500.520.670.880.931.000.290.220.570.580.740.860.220.291.000.870.720.700.550.350.160.220.871.000.660.640.480.280.500.570.720.661.000.980.830.620.520.580.700.640.981.000.850.640.670.740.550.480.830.851.000.800.880.860.350.280.620.640.801.00.:X=[0.4,0;0.4,0.1304;0.8,1.1531;1,1.0854;0.8,0.6;0.8,0.5625;0.6,0.4545;0.6,0.0476];%I=ones(8,8);%I1fori=1:8forj=1:8Y(i,j)=(abs(X(i,1)-X(j,1))+abs(X(i,2)-X(j,2)));%endendR=round((I-0.53Y)3100)P100%R220062.2Rt(R):t(R)=1.000.940.720.720.860.860.860.890.941.000.720.720.860.860.860.890.720.721.000.870.720.720.720.720.720.720.871.000.720.720.720.720.860.860.720.721.000.980.900.860.860.860.720.720.981.000.900.860.860.860.720.720.900.901.000.860.890.890.720.720.860.860.861.00.:flag=0;%C=R;whileflag==0fori=1:8forj=1:8fork=1:8B(i,j)=max(min(C(i,k),C(k,j)),B(i,j));%endendendifB==Cflag=1;elseC=B;endendBt(R)=B%2.3tij(i,j=1,2,...,n):=1,0.99,0.98,0.97,0.95,0.94,0.90,0.89,0.87,0.86,0.72,.:L=[1,0.99,0.98,0.97,0.95,0.94,0.90,0.89,0.87,0.86,0.72];%t(R)fork=Lfori=1:8forj=1:8ifB(i,j)=k9:MATLAB3R(i,j)=1;elseR(i,j)=0;endendendR%R=0.89,R0.89:R0.89=1100000111000001001000000001000000001110000011100000111011000001.:x1,x2,x3,x4,x5,x6,x7,x8.:=0.89,X():{x4}{x3}{x5,x6,x7}{x1,x2,x8}.:{};{};{};{}.3(),,.,,,MATLAB,.:[1],.MATLAB7.0[M].:,2004:66-68.[2].[M].:,2005:105-111.[3].[J].,1998(1):35-36.BasedonMATLABsfuzzyclusteringanalysisandapplicationSUNYu2feng(DepartmentofMathematics,ShaoguanUniversity,Shaoguan512005,Guangdong,China)Abstract:ApplyMATLABinfuzzyclusteringanalysis,givestothecomputeralgorithmthatbegstountiefuzzysimilarmatrixandtransmissivetoclosedbale.Keywords:fuzzymathematics;clusteringanalysis;MATLAB(:)42006

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