带消失约束的区间值优化问题的最优性条件与对偶定理

doi:10.15960/j.cnki.issn.1007-6093.2023.01.006

Abstract

Abstract:

In this paper, a class of nonsmooth interval-valued optimization problem with vanishing constraints (IOPVC) is considered. The necessary and sufficient optimality conditions for LU optimal solution of (IOPVC) are obtained under some constraint qualifications. The weak duality, strong duality and strict converse duality theorems between (IOPVC) and the corresponding Mond-Weir type and Wolfe type dual models are studied. Furthermore, some examples are given to illustrate our results.

Key words: locally Lipschitz function, optimality conditions, interval-valued optimization problems, vanishing constraints, duality theorems

CLC Number:

O221

Haijun WANG, Huihui WANG. Optimality conditions and duality theorems for interval-valued optimization problems with vanishing constraints[J]. Operations Research Transactions, 2023, 27(1): 87-102.

References 19

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Optimality conditions and duality theorems for interval-valued optimization problems with vanishing constraints

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