OPTIMALITY CONDITIONS AND DUALITY FOR E-DIFFERENTIABLE FRACTIONAL MULTIOBJECTIVE INTERVAL VALUED OPTIMIZATION PROBLEMS WITH E-INVEXITY

被引：0
作者：
Peng, Zai-Yun [1 ]
Deng, Chun-Yan [1 ]
Zhao, Yong [1 ]
Peng, Jian-Yi [1 ]
机构：
[1] College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing
来源：
Applied Set-Valued Analysis and Optimization | 2024年 / 6卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fractional interval valued optimization; LU-E-invex fraction interval value function; LU-E-Pareto solution; Mond-Weir E-dual;
D O I：
10.23952/asvao.6.2024.3.04
中图分类号：
学科分类号：
摘要：
In this paper, a class of fractional multiobjective interval valued optimization problems with E-invexity is considered. First, the definition of the E-invex fractional interval value function is given under the interval order relation, and the existence of these fractional interval-valued functions is verified by examples. Second, we present the E-KKT necessary optimality conditions and the sufficient optimality conditions for a fractional interval-valued optimization problem (FIVPE) under E-invexity. Last, the Mond-Weir E-dual problem (DFIVPE) of (FIVPE) is established, and several E-duality theorems are obtained under E-invexity. To some extent, this paper generalizes the existing relevant results obtained recently. ©2024 Applied Set-Valued Analysis and Optimization.
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页码：295 / 307
页数：12
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