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Duality theorems for multiobjective fractional minimization problems involving set functions

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Publication:1915890
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zbMath0849.90114MaRDI QIDQ1915890

Cheong Lai Jo, Do Sang Kim, Gue Myung Lee

Publication date: 21 August 1996

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)


zbMATH Keywords

efficiencyduality theoremsmultiobjective fractional minimization


Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Fractional programming (90C32) Convexity of real functions of several variables, generalizations (26B25)


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Optimality conditions for multiple objective fractional subset programming with \(({\mathcal F},\alpha,\rho,\theta)\)-V-type-I and related non-convex functions ⋮ Duality for multiple objective fractional subset programming with generalized \((\Gamma\mkern-15mu-,\rho,\sigma,\theta)\)-V-Type-I functions ⋮ Optimality conditions for multiple objective fractional subset programming with \((\rho,\sigma,\theta )\)-type-I and related non-convex functions ⋮ Unnamed Item ⋮ Efficiency conditions and duality models for multiobjective fractional subset programming problems with generalized \(({\mathcal F},\alpha,\rho,\theta)\)-\(V\)-convex functions



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