基于广义WOWA算子的Pythagorean模糊决策方法

doi:10.12005/orms.2020.0034

摘要/Abstract

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GWOWA算子属性综合权重计算模型,利用PF-GWOWA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。

关键词: 多属性决策, Pythagorean模糊数, PF-GWOWA算子, TOPSIS

Abstract: 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 weighted 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.

Key words: multiple criteria decision making, Pythagorean number, PF-GWOWA operator, TOPSIS

中图分类号:

C934

李鹏, 沈志杰. 基于广义WOWA算子的Pythagorean模糊决策方法[J]. 运筹与管理, 2020, 29(2): 58-65.

LI Peng, SHEN Zhi-jie. A Decision Making Method for Pythagorean Fuzzy Numbers Based on Generalized WOWA Operator[J]. Operations Research and Management Science, 2020, 29(2): 58-65.

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