一类基于指数型模糊数的模糊多属性topsis决策

针对指数型模糊数上的模糊多属性决策问题,根据模糊理想点法的思想,给出两种多属性topsis决策方法。通过定义指数型模糊数的期望值,实现属性权重向量的解模糊化处理;定义指数型模糊数之间的距离测度,以计算各方案与理想方案之间的距离。基于期望值和距离测度的定义,从两种不同的角度出发,给出了两种模糊多属性topsis决策方法。实例验证两种方法的可行性和有效性,并对这两种方法进行比较和分析。

A class of fuzzy multiple attributes topsis decision making based on exponential type fuzzy numbers

According to the fuzzy ideal point method, two multiple attribute topsis decision making methods are presented to deal with the fuzzy multiple attribute decision making problems on exponential type fuzzy numbers. First of all, by defining the expected value of exponential type fuzzy numbers, to achieve defuzzification processing of weight vector of attributes; Defining the distance measure between exponential type fuzzy numbers, to calculate the distance between every scheme and ideal scheme. Then, based on the definitions of the expected value and the distance measure, two fuzzy multiple attribute topsis decision making methods are presented from two different points. Finally, an example is provided to verify the feasibility and effectiveness of the proposed methods, and to compare and analyze the two methods.