基于Matlab实现多指标综合评价方法案例（源码）.rar

%-------------------------------------------------------------------------- % 多指标综合评价方法 %-------------------------------------------------------------------------- %% examp12.1-1 % ------------层次单排序与一致性检验--------------- %(1) 准则层对目标层 A = [1,1/2,4,3,3;2,1,7,5,5;1/4,1/7,1,1/2,1/3;1/3,1/5,2,1,1;1/3,1/5,3,1,1]; [V,L] = eig(A,'vector'); L = real(L); [Lmax,id] = max(L) CI = (Lmax-5)/(5-1) RI = 1.12; CR = CI/RI W = V(:,id); W = W/sum(W) %（2） 方案层对准则层 B1 = [1,2,5;1/2,1,2;1/5,1/2,1]; [Lmax1,CI1,CR1,W1] = AHP(B1) B2 = [1,1/3,1/8;3,1,1/3;8,3,1]; [Lmax2,CI2,CR2,W2] = AHP(B2) B3 = [1,1,3;1,1,3;1/3,1/3,1]; [Lmax3,CI3,CR3,W3] = AHP(B3) B4 = [1,3,4;1/3,1,1;1/4,1,1]; [Lmax4,CI4,CR4,W4] = AHP(B4) B5 = [1,1,1/4;1,1,1/4;4,4,1]; [Lmax5,CI5,CR5,W5] = AHP(B5) % ------------层次总排序与一致性检验及决策--------------- CIj = [CI1,CI2,CI3,CI4,CI5]; % 层次单排序的一致性指标 RIj = [0.52,0.52,0.52,0.52,0.52]; % 层次单排序的随机一致性指标 CR = CIj*W/(RIj*W) % 层次总排序的一致性比率 Wj = [W1,W2,W3,W4,W5]; % 层次单排序的权重 Y = Wj*W % 层次总排序的组合权重 %% examp12.2-1 一级模糊综合评价 A = [0.1,0.1,0.3,0.15,0.35]; R = [0.2,0.5,0.3,0; 0.1,0.3,0.5,0.1; 0,0.4,0.5,0.1; 0,0.1,0.6,0.3; 0.5,0.3,0.2,0]; % 选择加权求和算子 B1 = A*R % 选择最小最大算子 A2 = repmat(A',[1,size(R,2)]) B2 = max(min(A2,R)) B2 = B2/sum(B2) %% examp12.2-2 多级模糊综合评价 Mfun = @(x,y)max(min(repmat(x',[1,size(y,2)]),y)); A1 = [0.2,0.57,0.21,0.02]; R1 = [0.81,0.19,0,0; 0.79,0.2,0.01,0; 0.88,0.09,0.03,0; 0,0.01,0.49,0.5]; B1 = Mfun(A1,R1) B1 = B1/sum(B1) A2 = [0.6,0.1,0.1,0.2]; R2 = [0.1,0.7,0.2,0; 0.2,0.6,0.1,0.1; 0,0.2,0.2,0.6; 0,0.4,0.5,0.1]; B2 = Mfun(A2,R2) B2 = B2/sum(B2) A3 = [0.1,0.6,0.3]; R3 = [0,0.1,0.2,0.7; 0.5,0.4,0.1,0; 0.4,0.5,0.1,0]; B3 = Mfun(A3,R3) B3 = B3/sum(B3) A = [0.5,0.3,0.2]; R = [B1;B2;B3]; B = Mfun(A,R) B = B/sum(B)