基于可变模糊集的权重信息不完全的语言多属性决策研究

Research on Method for Linguistic Multi-attribute Decision Making with Incomplete Weight Information Based on Variable Fuzzy Sets Theory

针对权重信息不完全的语言多属性决策问题,提出一种基于可变模糊集理论的决策分析方法。首先将语言评价值转化为三角模糊数,计算各方案到正负理想点的加权广义欧式权距离,构建非线性规划模型,可同时得到属性权重和各方案的相对优属度,并按照相对优属度的大小将方案排序,选出最优方案;最后是一个实例分析,将该方法所得结果与现有方法的计算结果进行了比较。

With respect to linguistic multi-attribute decision makiing problems with incomplete information of attribute weight, a decision analysis method was proposed by using variable fuzzy sets theory. Firstly, liguistic assessments were transformed into triangular fuzzy numbers. By calculating the generalized weighted Euclidean weighted distance between alternatives and positive or negative ideal points, a ULPM was constructed. The relative superiority and weight could be gained at the same time. Based on the relative superiority of every alternative, alternatives were ranked. A case study was given to illustrate the feasibility of the proposed method. Finally, the given method was compared to an existed method.