APPROXIMATE SOLUTIONS OF INTERVAL-VALUED OPTIMIZATION PROBLEMS

Authors

  • Nguyen Van Tuyen Hanoi Pedagogical University 2, Department of Mathematics, Vietnam

Keywords:

Interval-valued optimization, Approximate solutions, Existence theoremS, KKT optimality conditions

Abstract

This paper deals with approximate solutions of an optimization problem with interval-valued ob- jective function. Four types of approximate solution concepts of the problem are proposed by considering the partial ordering LU on the set of all closed and bounded intervals. We show that these solutions exist under very weak conditions. Under suitable constraint qualifications, we de-
rive Karush–Kuhn–Tucker necessary and sufficient optimality conditions for convex interval-valued optimization problems.

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Published

2024-06-05

How to Cite

Van Tuyen, N. (2024). APPROXIMATE SOLUTIONS OF INTERVAL-VALUED OPTIMIZATION PROBLEMS. Investigación Operacional, 42(2). Retrieved from https://revistas.uh.cu/invoperacional/article/view/9155

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