Duality for multiobjective fractional programming involvingn-set functions sup*

DOI10.1080/02331939408843950zbMath0818.90099OpenAlexW2084350441MaRDI QIDQ4764895

Cheong Lai Jo, Do Sang Kim, Gue Myung Lee

Publication date: 17 August 1995

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939408843950

zbMATH Keywords

efficient solutionsconverse dualitymultiobjective fractional programminggeneralized \(\rho\)-convexityvector valued \(n\)-set functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Fractional programming (90C32)

Related Items (10)

A fifth bibliography of fractional programming^* ⋮ 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 ⋮ Efficiency Criteria and Duality Models for Multiobjective Fractional Programming Problems Containing Locall'y Subdifferentiable and ρ-Convex Functions ⋮ Solution of some convex separable resource allocation and production planning problems with bounds on the variables ⋮ Optimality conditions for multiple objective fractional subset programming with \((\rho,\sigma,\theta )\)-type-I and related non-convex functions ⋮ A taxonomy and review of the multi-objective fractional programming (MOFP) problems ⋮ Optimality and duality for multiobjective fractional programming involving \(n\)-set functions ⋮ Unnamed Item ⋮ Efficiency conditions and duality models for multiobjective fractional subset programming problems with generalized \(({\mathcal F},\alpha,\rho,\theta)\)-\(V\)-convex functions

Cites Work

• Optimality of differentiable, vector-valued n-set functions
• Optimization theory for n-set functions
• Optimal constrained selection of a measurable subset
• Duality theorems of vector-valued \(n\)-set functions
• On the optimality conditions of vector-valued \(n\)-set functions
• Optimality conditions and duality for multiobjective measurable subset selection problems
• Multiobjective fractional duality
• Oil minmax programming problems containing n-set functions
• A transposition theorem with applications to constrained optimal control problems
• Generalized convex duality for multiobjective fractional programs
• Unnamed Item

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