基于可能点的TOPSIS模糊多属性决策方法  

TOPSIS Method for Fuzzy Multi-attribution Decision-making Based on Possible Points

作　　者：彭旭[1] 韩冰[1] 陈华友[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《武汉理工大学学报（信息与管理工程版）》2015年第6期761-765,770,共6页Journal of Wuhan University of Technology：Information & Management Engineering

基　　金：国家自然科学基金资助项目(71371011;71301001);教育部高等学校博士点基金资助项目(20123401110001)

摘　　要：受定积分思想的启发,提出了一种新的基于可能点的两个三角模糊数之间差异度量函数的概念,证明了差异度量函数满足的性质,并指出其实质为一种距离。基于该距离,将其运用到TOPSIS模糊多属性决策方法中,分别讨论了属性权重已知和未知情形下的多属性决策问题。通过算例验证了该方法的有效性和计算的简便性。Motivated by the idea of definite integral,a novel concept of difference metric function between triangular fuzzy numbers was proposed based on possible points. The properties of difference metric function were proven. And it was pointed out that it actually was a kind of distance. It was applied to fuzzy TOPSIS method for multi- attribution decision- making based on this distance under the cases of known weights and unknown weights,respectively. Finally,a practical example was illustrated to show that the method has effectiveness and simple calculation.

关 键 词：三角模糊数 理想点 可能点 差异度量函数 

分 类 号：O22[理学—运筹学与控制论]