Essential stability of fuzzy equilibria for generalized multiobjective games with fuzzy constraint mappings

被引：5
|
作者：
Zhou, Li [1 ]
Jia, Wensheng [1 ]
Liu, Luping [1 ]
机构：
[1] Guizhou Univ, Coll Math & Stat, Guiyang 550025, Guizhou, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2022年 / 447卷
基金：
中国国家自然科学基金;
关键词：
Fuzzy constraint mapping; Generalized multiobjective games; Generic stability; Essential components; NASH EQUILIBRIUM; EXISTENCE;
D O I：
10.1016/j.fss.2021.11.012
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Under the assumption that the constraint mappings of players are fuzzy, we study the stability of fuzzy equilibria for a group of generalized multiobjective games. First, we prove that most of generalized multiobjective games with fuzzy constraint mappings are essential on the meaning of Baire category by Fort theorem. Furthermore, an example is constructed to reveal that not all generalized multiobjective games with fuzzy constraint mappings come into possession of essential points. Finally, we obtain the existence of essential components for the games.(c) 2021 Published by Elsevier B.V.
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页码：113 / 122
页数：10
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