Stability of solutions for fuzzy set optimization problems with applications

被引：7

作者：

Zhang, Chuang-liang ^{[1
]}

Huang, Nan-jing ^{[2
]}

O'Regan, Donal ^{[3
]}

机构：

[1] Jiaying Univ, Sch Math, Meizhou 514015, Guangdong, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[3] Natl Univ Ireland, Sch Math & Stat Sci, Galway, Ireland

来源：

FUZZY SETS AND SYSTEMS | 2023年 / 466卷

基金：

中国国家自然科学基金;

关键词：

Fuzzy set optimization problem; Stability; Fuzzy function; Continuous-time fuzzy optimization problem; MAPPINGS; DUALITY;

D O I：

10.1016/j.fss.2023.01.005

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we introduce a new parametric fuzzy set optimization problem based on the ordering relations of fuzzy sets, where a parametric function and an objective function both take values on fuzzy sets. We show the continuity of solution mappings for such a problem under some mild conditions. Moreover, we give the Painleve-Kuratowski upper convergence and lower convergence of solution sets for fuzzy set optimization problems. As applications, the stability results are applied to obtain the continuity of a minimal solution mapping and the Painleve-Kuratowski convergence of minimal solution sets for continuous-time fuzzy set optimization problems. (c) 2023 Elsevier B.V. All rights reserved.

引用

页数：13

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