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

Autor: ZAI-YUN PENG, CHUN-YAN DENG, YONG ZHAO, JIAN-YI PENG
Předmět:
Zdroj: Applied Set-Valued Analysis & Optimization; 2024, Vol. 6 Issue 3, p295-307, 13p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index