Stability of solutions for fuzzy set optimization problems with applications

被引：5
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.
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页数：13
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