A Pythagorean Fuzzy Multiple Attribute Group Decision-making Method Based on Shapley Value and its Application

doi:10.12005/orms.2021.0113

Operations Research and Management Science ›› 2021, Vol. 30 ›› Issue (4): 81-86.DOI: 10.12005/orms.2021.0113

• Theory Analysis and Methodology Study • Previous Articles Next Articles

A Pythagorean Fuzzy Multiple Attribute Group Decision-making Method Based on Shapley Value and its Application

GUAN Xian-jun¹, ZHOU Han¹, ZHOU Li-gang², CHEN Hua-you²

1. School of Economics and Management, Tongji University, Shanghai 200092, China;
2. School of Mathematical Sciences, Anhui University, Hefei 230601, China

Received:2018-11-01 Online:2021-04-25

一种基于Shapley值的Pythagorean模糊多属性群决策方法及其应用

关贤军¹, 周晗¹, 周礼刚², 陈华友²

1.同济大学经济与管理学院,上海 200092;
2安徽大学数学科学学院,安徽合肥 230601

作者简介:关贤军(1972-),男,湖北仙桃人,副教授,博士,研究方向为应急管理、工程管理;周晗(1996-),女,安徽马鞍山人,研究方向为应急管理;周礼刚(1980-),男,安徽潜山人,教授,博士生导师,研究方向为模糊预测与决策;陈华友(1969-),男,安徽和县人,教授,博士生导师,研究方向为模糊预测与决策。
基金资助:
国家自然科学基金面上项目(71272047)

Abstract

Abstract: This paper proposes a novel approach to Pythagorean fuzzy multiple attribute group decision-making problems based on Shapley value considering the experts’ weights. Firstly, the definitions of Shapley value and characteristic function are introduced, the concepts of Pythagorean fuzzy distance measure and Pythagorean fuzzy decision error information matrix are proposed, and their properties are studied. Then, a Pythagorean fuzzy expert weight determination model based on Shapley value is constructed. Moreover, a logarithmic minimum optimization model is developed to solve the priority weights in multiple attribute group decision-making problems. Finally, a Pythagorean fuzzy multiple attribute group decision-making approach based on Shapley value is proposed, and a practical example is given to illustrate the effectiveness of the method.

Key words: multiple attribute group decision-making, Pythagorean fuzzy numbers, Shapley value, emergency management

摘要： 针对模糊决策信息环境下的专家权重确定问题提出一种基于Shapley值的Pythagorean模糊多属性群决策方法。本文引入Shapley值和特征函数的定义,提出Pythagorean模糊距离测度和Pythagorean模糊决策误差信息矩阵等概念,并研究它们的性质。进一步,构建基于Shapley值的Pythagorean模糊专家权重确定模型和属性权重确定模型。针对决策信息是以Pythagorean模糊数形式给出的决策问题,提出一种基于Shapley值的Pythagorean模糊多属性群决策方法,并应用到应急救援中,验证了该方法的有效性。

关键词: 多属性群决策, Pythagorean模糊数, Shapley值, 应急管理

CLC Number:

C934

GUAN Xian-jun, ZHOU Han, ZHOU Li-gang, CHEN Hua-you. A Pythagorean Fuzzy Multiple Attribute Group Decision-making Method Based on Shapley Value and its Application[J]. Operations Research and Management Science, 2021, 30(4): 81-86.

关贤军, 周晗, 周礼刚, 陈华友. 一种基于Shapley值的Pythagorean模糊多属性群决策方法及其应用[J]. 运筹与管理, 2021, 30(4): 81-86.

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A Pythagorean Fuzzy Multiple Attribute Group Decision-making Method Based on Shapley Value and its Application

一种基于Shapley值的Pythagorean模糊多属性群决策方法及其应用

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