不完备勾股模糊信息系统的三支冲突分析

Three-Way Conflict Analysis on Incomplete Pythagorean Fuzzy Information System

本文考虑了不完备情况下的勾股模糊信息系统,并结合三支决策思想将三支冲突分析模型引入不完备勾股模糊信息系统中。首先,定义了不完备勾股模糊信息系统,同时根据勾股模糊数另一表达形式定义了+/−区域角与可能含有未知值的勾股模糊数的未知值数量函数。其次,根据差异性矩阵,定义了可能含有未知值的勾股数之间的冲突度计算方式,建立起不完备勾股模糊信息系统中的代理人之间关系的三划分模型。最后,根据对多事件的态度取值的聚合算子,在不完备勾股信息系统中建立了对代理集的三划分模型。

This paper considers the Pythagorean fuzzy information system in the case of incompleteness, and introduces the three-way conflict analysis model into the incomplete Pythagorean fuzzy information system (IPFIS) by combining the three-way decision. Firstly, we define IPFIS, the +/− region angles and the number function of the Pythagorean fuzzy number (PFN) that may contain missingvalues according to another expression of PFN. Secondly, according to the dissimilarity matrix, the calcula-tion of conflict degree between two PFNs that may contain missing values is defined, and a three-division model of the relationship between agents in the IPFIS is established. Finally, accord-ing to the aggregation operator of attitude to multiple issues, a three-division model for the agent set is also established in IPFIS.