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- Title
OPTIMALITY CONDITIONS AND DUALITY FOR E-DIFFERENTIABLE FRACTIONAL MULTIOBJECTIVE INTERVAL VALUED OPTIMIZATION PROBLEMS WITH E-INVEXITY.
- Authors
ZAI-YUN PENG; CHUN-YAN DENG; YONG ZHAO; JIAN-YI PENG
- Abstract
In this paper, a class of fractional multiobjective interval valued optimization problems with Einvexity 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.
- Subjects
FRACTIONAL calculus; PARETO analysis; MATHEMATICS theorems; DECISION making; PARETO distribution
- Publication
Applied Set-Valued Analysis & Optimization, 2024, Vol 6, Issue 3, p295
- ISSN
2562-7775
- Publication type
Article
- DOI
10.23952/asvao.6.2024.3.04