Necessary and sufficient conditions for local and global nondominated solutions in decision problems with multi-objectives

DOI10.1007/BF00932220zbMath0387.90095OpenAlexW1992507014MaRDI QIDQ1250032

K. Appert

Publication date: 1979

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00932220

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31)

Related Items (8)

On necessary optimality conditions in vector optimization problems ⋮ CONE CONVEX AND RELATED FUNCTIONS IN OPTIMIZATION OVER TOPOLOGICAL VECTOR SPACES ⋮ On proper and improper efficient solutions of optimal problems with multicriteria ⋮ Optimality conditions in nonconical multiple objective programming ⋮ The generalized optimality conditions of multiobjective programming problem in topological vector space. ⋮ Nondominated equilibrium solutions of a multiobjective two-person nonzero-sum game and corresponding mathematical programming problem ⋮ Nondominated equilibrium solutions of a multiobjective two-person nonzero-sum game in extensive form and corresponding mathematical programming problem ⋮ Variable preference modeling with ideal-symmetric convex cones

Cites Work

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• A method for constructing the polar cone of a polyhedral cone, with applications to linear multicriteria decision problems
• The set of all nondominated solutions in linear cases and a multicriteria simplex method
• Control space properties of cooperative games
• A note on control space properties of cooperative games
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• On noninferior performance index vectors

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