Approximate Optimality Conditions and Approximate Duality Conditions for Robust Multiobjective Optimization Problems

Thanatchaporn Sirichunwijit, Rabian Wangkeeree

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  • Support Team

Keywords:

local ϵ-(weakly) Pareto solution, local quasi-ϵ-(weakly) Pareto solution, approximate solution, approximate optimality conditions, approximate duality conditions

Abstract

In this paper, following robust optimization framework, we consider approximate robust optimal solutions for a nonsmooth multi objective optimization problem with uncertainty of data. Some necessary and sufficient conditions are investigated proving different result for approximate optimal solutions depending on Fritz-John type. The concept of generalized convexity is defined, and the relationship with sufficient optimality theorem. Moreover, by using robust optimization approach(worst-case approach), we establish optimality theorems and duality theorem for two robust approximate optimal solutions of an uncertain multi-objective optimization.

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Published

2022-03-31

How to Cite

Team, S. (2022). Approximate Optimality Conditions and Approximate Duality Conditions for Robust Multiobjective Optimization Problems: Thanatchaporn Sirichunwijit, Rabian Wangkeeree. Thai Journal of Mathematics, 20(1), 121–140. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1314

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