基于广义WOWA算子的Pythagorean模糊决策方法  

A Decision Making Method for Pythagorean Fuzzy Numbers Based on Generalized WOWA Operator

作　　者：李鹏[1] 沈志杰 LI Peng;SHEN Zhi-jie(College of Economics and Management,Jiangsu University of Science and Technology,Zhenjiang 212003,China)

机构地区：[1]江苏科技大学经济管理学院,江苏镇江212003

出　　处：《运筹与管理》2020年第2期58-65,共8页Operations Research and Management Science

基　　金：教育部人文社科基金(19YJA630039)。

摘　　要：针对Pythagorean模糊信息的决策问题,构建广义Pythagorean模糊信息加权有序加权平均(PF-GWOWA)算子.首先,提出PF-GWOWA算子,并证明Pythagorean模糊广义加权平均(PF-GWA)算子、Pythagorean模糊加权有序加权平均(PF-WOWA)算子与Pythagorean模糊加权平均(PF-WA)算子均为PF-GWOWA算子的特例;其次,根据G WO WA算子属性综合权重计算模型,利用P F-G WO WA算子对信息进行集结;最后,通过算例分析和传统方法对比,说明本文提出方法的合理性与有效性.This paper mainly studies the multiple criteria decision making problems for Pythagorean numbers.A Pythagorean fuzzy generalized weighted ordered weighted average(PF-GWOWA)operator is proposed.Firstly,the PF-GWOWA operator is proposed.We use three theorems to prove that Pythagorean fuzzy generalized weigh-ted average(PF-GWA)operator,Pythagorean fuzzy weighted ordered weighted average(PF-WOWA)operator and Pythagorean fuzzy weighted average(PF-WA)operator are special cases.Then,according to the model of obtaining comprehensive criteria weights,we aggregate the Pythagorean fuzzy information by the PF-GWOWA operator and use the score function and accurate function to rank the alternatives and choose the best one.Finally,an example is proposed and compared with the traditional method to illustrate the rationality and effectiveness of our proposed method.

关 键 词：多属性决策 Pythagorean模糊数 PF-GWOWA算子 TOPSIS 

分 类 号：C934[经济管理—管理学]