Necessary conditions of nondominated solutions in multicriteria decision making

DOI10.1016/0022-247X(84)90027-1zbMath0593.90070MaRDI QIDQ1076612

Guang-Ya Chen

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Banach spacetangent coneKuhn-Tucker conditionLagrange multiplier theoremmulticriteria decisionscalar theorem

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31)

Related Items (3)

A combined scalarization method for multi-objective optimization problems ⋮ Necessary conditions for efficient solution of vector optimization problems ⋮ The generalized optimality conditions of multiobjective programming problem in topological vector space.

Cites Work

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• Optimization theory in linear spaces. II: On systems of linear operator inequalities in partially ordered normed linear spaces
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• Proper Efficient Points for Maximizations with Respect to Cones
• Weak Tangent Cones and Optimization in a Banach Space

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