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arXiv · 2502.12506

Approximate solutions in multiobjective interval-valued optimization problems: Existence theorems and optimality conditions

Chuang-liang Zhang·Yun-cheng Liu·Nan-jing Huang
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Abstract

This paper is devoted to the study of approximate solutions for a multiobjective interval-valued optimization problem based on an interval order. We establish new existence theorems of approximate solutions for such a problem under some mild conditions. Moreover, we give KKT optimality conditions for approximate solutions for such a problem whose associated functions are nonsmooth and nonconvex. We also propose the approximate KKT optimality condition of an approximate solution for such a problem. Finally, we apply some obtained results to a noncooperative game involving the multiobjective interval-valued function.

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Chuang-liang Zhang, Yun-cheng Liu, Nan-jing Huang. 2025-02-18. Approximate solutions in multiobjective interval-valued optimization problems: Existence theorems and optimality conditions. https://arxiv.org/abs/2502.12506

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