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On Optimality and Duality for Generalized Fractional Robust Optimization Problems
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In this paper, we consider a generalized fractional robust optimization problem (FP). Establishing a nonfractional optimization problem (NFP) equivalent to (FP),we establish necessary optimality conditions and duality results.
Abstract
In this paper, we consider a generalized fractional robust optimization problem (FP). Establishing a nonfractional optimization problem (NFP) equivalent to (FP),we establish necessary optimality conditions and duality results.
참고문헌 (10)
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- 김문희, "Robust duality for generalized invex programming problems", 대한수학회논문집, 28(2), pp.419~423 (2013), 대한수학회
- 김문희, "Optimality Conditions and Duality in Fractional Robust Optimization Problems", East Asian Mathematical Journal, 31(3), pp.345~349 (2015), 영남수학회[DOI]
- D. Kuroiwa, "On robust multiobjective optimization", Vietnam J. Math, 40, pp.305~317 (2012)
- 이규명, "On duality theorems for robust optimization problems", 충청수학회지, 26(4), pp.723~734 (2013), 충청수학회[DOI]
- G. M. Lee, "Duality theorems for fractional multiobjective minimization problems", Proceedings of the 1st Workshop in Applied Mathematics, 1, pp.245~256 (1993)
관련 논문AI추천
Optimality Conditions and Duality in Fractional Robust Optimization Problems김귀수, 김문희영남수학회 · East Asian Mathematical Journal2015 · 제31권 제3호Optimality and Duality for Nonsmooth Fractional Robust Optimization Problems with $(V, \rho)$-Invexity김문희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제3호Optimality Conditions and Duality in Nondifferentiable Robust Optimization Problems김문희영남수학회 · East Asian Mathematical Journal2015 · 제31권 제3호On nonsmooth Optimality theorems for robust optimization problems이규명, Pham Tien Son대한수학회 · 대한수학회보2014 · 제51권 제1호ON SUFFICIENCY AND DUALITY FOR FRACTIONAL ROBUST OPTIMIZATION PROBLEMS INVOLVING (V, ρ)-INVEX FUNCTION김귀수, 김문희영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호ON SUFFICIENCY AND DUALITY FOR ROBUST OPTIMIZATION PROBLEMS INVOLVING (V, ρ)-INVEX FUNCTIONS김귀수, 김문희영남수학회 · East Asian Mathematical Journal2017 · 제33권 제3호
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