Generalized Nash equilibrium problem over a fuzzy strategy set

被引：15

作者：

Wang, Xing ^{[1
]}

Teo, Kok Lay ^{[2
,3
]}

机构：

[1] Jiangxi Univ Finance & Econ, Sch Informat Technol, Nanchang, Jiangxi, Peoples R China

[2] Sunway Univ, Sch Math Sci, Bandar Sunway 47500, Selangor Darul, Malaysia

[3] Tianjin Univ Finance & Econ, Coordinated Innovat Ctr Computable Modeling Manag, Tianjin, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2022年 / 434卷

基金：

中国国家自然科学基金;

关键词：

Variational inequality; Nash equilibrium problem; Fuzzy sets; Fashion and textile industry; VARIATIONAL INEQUALITY; EXISTENCE;

D O I：

10.1016/j.fss.2021.06.006

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, the generalized Nash equilibrium problem over a fuzzy domain is considered. An existence result of the solution is given. Then, on the basis of the variational inequality approach, an algorithm is developed to solve the fuzzy Nash equilibrium problem. In addition, a stability analysis of the solution set is provided while the membership function is perturbed by a parameter. Finally, the fuzzy Nash equilibrium formulation is applied to the study of the conflicts faced by the fashion and textile industry: production and pollution.(c) 2021 Elsevier B.V. All rights reserved.

引用

页码：172 / 184

页数：13

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