语言直觉模糊数的可能度排序方法及其应用

提出新的排序方法对语言直觉模糊数进行排序并将其应用到多属性语言决策问题中。首先基于可能度和Atanassov偏序提出语言直觉模糊数的可能度定义并讨论一些相关性质, 然后通过构造可能度矩阵计算排序向量并结合精确函数提出基于可能度的排序方法, 并在已知属性权重和专家权重的情况下使用语言直觉模糊数加权聚合算子将决策信息聚合得到方案整体综合值。根据提出的可能度排序方法设计出一个语言直觉模糊信息下的多属性群决策方法, 通过一个具体案例说明该方法是合理有效的。

A Possibility Degree Method for Ranking Linguistic Intuitionistic Fuzzy Number and Application

This paper proposes a new ranking method to rank linguistic intuitionistic fuzzy numbers and applies it to the linguistic decision making problem of multi attribute with linguistic intuitionistic fuzzy numbers. First of all, a possibility degree of linguistic intuitionistic fuzzy number is defined based on possibility degree and Atanassov partial order and some related properties are discussed. And then, the ranking vector are calculated by constructing the probability degree matrix and the ranking method based on the possible degree is proposed by combining the accuracy function.In the case of known attribute weights and expert weights and using the linguistic intuitionistic fuzzy number weighted aggregation operator, the individual comprehensive values of alternatives are obtained and further integrated into the collective comprehensive values of alternatives. According to the proposed method of probability ranking, a multi attribute group decision making method is designed. Finally, a concrete case shows that the method is reasonable and effective.