p型直觉模糊多属性群决策

p-type Intuitionistic Fuzzy Multi-criteria Group Decision Making

p型直觉模糊集是直觉模糊集和勾股模糊集的推广。与直觉模糊集和勾股模糊集类似,p型直觉模糊集是给论域中的每个成员赋予一个介于0和1之间的隶属度和一个介于0和1之间的非隶属度,并且二者p次方之和不超过1。本文研究了p型直觉模糊信息的集成方法,给出p型直觉模糊信息之下的多属性群决策方法,并通过实例表明此方法的有效性。

p-type intuitionistic fuzzy sets are the generalization of intuitionistic fuzzy sets and pythagorean fuzzy sets. Similar to the intuitionistic fuzzy sets and pythagorean fuzzy sets, p-type intuitionistic fuzzy sets assign to each element of the universe a membership degree and a nonmembership degree in the interval [-0,1], and satisfy the condition that the p-th power sum of the membership degree and the nonmembership degree is equal to or less than 1. In this paper, we investigate the aggregation methods of p-type intuitionistic fuzzy information. We also give a multi-criteria group decision making method with the p-type intuitionistic fuzzy information. A practical example is used to illustrate the applicability and effectiveness of the proposed method. K