Two classes of granular solutions and related optimality conditions for interval type-2 fuzzy optimization

被引：6
作者：
Zhang, Jianke [1 ]
Xu, Zeshui [2 ]
Feng, Feng [1 ]
Yager, Ronald R. [3 ]
机构：
[1] Xian Univ Posts & Telecommun, Sch Sci, Dept Appl Math, Xian 710121, Peoples R China
[2] Sichuan Univ, Business Sch, Chengdu 610064, Peoples R China
[3] Iona Coll, Machine Intelligence Inst, New Rochelle, NY 10801 USA
来源：
INFORMATION SCIENCES | 2022年 / 612卷
基金：
中国国家自然科学基金;
关键词：
Optimality condition; Interval type-2 fuzzy optimization; Granular convexity; Granular differentiability; Horizontal membership function; SETS;
D O I：
10.1016/j.ins.2022.09.029
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Interval type-2 fuzzy optimization models have become increasingly attractive and useful in various practical applications. Nonetheless, there israre discussion on the optimality conditions of granular solutions for the problem of interval type-2 fuzzy optimization. In response to this, we introduce two kinds of granular solutions and endeavor to ascertain the conditions under which a feasible solution becomes granular-efficient in this study. Firstly, we put forth the concept of granular convexity for interval type-2 fuzzy functions, and investigate some fundamental properties. Secondly, we present the concepts of granular-efficient solutions and weakly granular-efficient solutions for optimization prob-lems under an interval type-2 fuzzy setting. Finally,we obtain the optimality conditions for interval type-2 fuzzy optimization. Furthermore, several examples arepresented to demon-strate the proposed concepts and main results.(c) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页码：974 / 993
页数：20
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