Multiobjective Fractional Duality Forn-Set Functions

DOI10.1080/02522667.1993.10699158zbMath0803.90117OpenAlexW2008006660MaRDI QIDQ4298550

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Publication date: 2 August 1994

Published in: Journal of Information and Optimization Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02522667.1993.10699158

zbMATH Keywords

\(n\)-set functions\(\rho\)-convexitymultiobjective fractional duality

Mathematics Subject Classification ID

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

Related Items (3)

Optimality conditions for multiobjective programming with generalized \(({\mathfrak J},\rho,\theta)\)-convex set functions ⋮ Duality for a minimax programming problem containing \(n\)-set functions ⋮ Efficiency conditions and duality models for multiobjective fractional subset programming problems with generalized \(({\mathcal F},\alpha,\rho,\theta)\)-\(V\)-convex functions

Cites Work

• Optimization theory for n-set functions
• Sufficiency criteria and duality for nonlinear programs involving n-set functions
• Optimal constrained selection of a measurable subset
• Duality in mathematical programming of set functions: On Fenchel duality theorem
• On multiple objective programming problems with set functions
• Proper efficiency and the theory of vector maximization
• The Multiobjective Optimization Problem of Set Function
• Saddle point and duality in the optimization theory of convex set functions

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