摘要
讨论不同距离测度对三角模糊TOPSIS决策结果的影响。通过仿真实验模拟三角模糊数决策矩阵,计算得出一致率、标准差等数值结果,分析不同距离公式所得模糊TOPSIS排序结果两两之间的一致性程度,并对不同距离测度所得方案贴近度的标准差进行综合比较。实验结果表明,随着方案个数的逐渐增大,不同的距离测度两两之间的一致率都将减小,以致其一致性程度越来越不显著。因此,在应用TOPSIS方法时使用不同的距离测度往往会产生不同的方案排列次序,需谨慎选择所使用的距离公式。
This paper deals with the effect of different distance measures on the triangular fuzzy TOPSIS decision results.By generating random problems of different sizes,a simulation experiment of triangular fuzzy TOPSIS rankings from each distance measure is conducted to obtain numerical results such as consistency rates and standard deviation,and then make a comprehensively comparative study of the standard deviation of alternative similarity scale of different distance measures.Finally,the experimental result shows that the consistency rates drastically decrease as the number of alternatives in a problem increases.As a result,the different definitions of distances indeed have a significant influence on the final results of the triangular fuzzy TOPSIS method..
出处
《系统工程》
CSSCI
CSCD
北大核心
2010年第11期95-103,共9页
Systems Engineering
基金
国家自然科学基金资助项目(70901043)
教育部博士点基金资助项目(20050287026)
关键词
三角模糊TOPSIS方法
仿真实验
一致率
标准差
Triangular Fuzzy TOPSIS Method
Simulation Experiment
Consistency Rate
Standard Deviation
