基于优势关系的毕达哥拉斯模糊三支决策模型

Pythagorean Fuzzy Three-Way Decision Model Based on Dominant Relation

鉴于毕达哥拉斯模糊集在处理不确定信息中的优势,本文基于毕达哥拉斯模糊集的优势关系,将对象集进行划分,根据三支语义,构建了毕达哥拉斯模糊集的三支决策模型.为解决毕达哥拉斯模糊集的隶属度与非隶属度不是一个确定值的问题,本文设计了具有风险偏好的函数将区间值转化为确定值,进而构建了区间毕达哥拉斯模糊集的三支决策模型,使本文所建立的毕达哥拉斯模糊三支决策模型更具一般性与实用性,进一步拓展并丰富了毕达哥拉斯集与三支决策的相关理论.另外根据风险参数的取值,本文进一步讨论了毕达哥拉斯模糊三支决策模型的乐观型和悲观型.最后通过一个例子说明模型的有效性与可靠性.

In view of the advantages of Pythagorean fuzzy sets in processing uncertain information,this paper divides the object set based on the dominant relationship of Pythagorean fuzzy sets,and constructs a three-support decision model of Pythagorean fuzzy sets according to three semantics.In order to solve the problem that membership degree and non-membership degree of Pythagorean fuzzy sets are not definite values,a function with risk appetite is designed to convert interval values into deterministic values,and then a three-way decision model based on interval Pythagorean fuzzy sets is constructed,this makes the Pythagorean fuzzy sets model more general and practical by proposed,and it expands and enriches the theory of the Pythagorean fuzzy sets and the three-way decision.Moreover,according to the values of risk parameters,the optimistic and pessimistic models of the Pythagorean fuzzy three-way decision models are further discussed in this paper.As a result,we show an example to illustrate the validity and feasibility of the model.