논문KCI 등재
Duality theorem and vector saddle point theorem for robust multiobjective optimization problems
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회논문집 (Communications of the KMS)|제28권 제3호|pp. 597-602
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In this paper, Mond-Weir type duality results for a uncertain multiobjective robust optimization problem are given under generalized invexity assumptions. Also, weak vector saddle-point theorems are obtained under convexity assumptions.
Abstract
In this paper, Mond-Weir type duality results for a uncertain multiobjective robust optimization problem are given under generalized invexity assumptions. Also, weak vector saddle-point theorems are obtained under convexity assumptions.
참고문헌 (9)
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- D. Bertsimas, "Constructing uncertainty sets for robust linear optimization", Oper. Res, 57(6), pp.1483~1495 (2009)
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- V. Jeyakumar, G. Li, "A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty", Oper. Res. Lett, 39(2), pp.109~114 (2011)
- V. Jeyakumar, "Robust duality for generalized convex programming problems under data uncer- tainty", Nonlinear Anal, 75(3), pp.1362~1373 (2012)
- M. H. Kim, "Robust duality for generalized invex programming problems", ~
- D. Kuroiwa, "On robust multiobjective optimization", ~
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