Necessary conditions of nondominated solutions in multicriteria decision making
type: Item
instance of: scholarly article
title: Necessary conditions of nondominated solutions in multicriteria decision making
zbMATH Open document ID: 0593.90070
DOI: 10.1016/0022-247X(84)90027-1
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: We consider multicriteria decision problems in a Banach space whose domination structure is a fixed convex set D. Several equivalence results are derived. If D is an open convex set the above problem is equivalent to a multicriteria decision problem whose domination structure is the tangent cone to D at zero. Further, we obtain a scalar theorem, a Lagrange multiplier theorem and the Kuhn-Tucker condition.
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 3954665
zbMATH Keywords: multicriteria decision
zbMATH Keywords: Banach space
zbMATH Keywords: tangent cone
zbMATH Keywords: scalar theorem
zbMATH Keywords: Lagrange multiplier theorem
zbMATH Keywords: Kuhn-Tucker condition
author: Guang-Ya Chen
MaRDI profile type: Publication
cites work: Q4160620
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cites work: Weak Tangent Cones and Optimization in a Banach Space
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cites work: Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
cites work: Optimization theory in linear spaces. II: On systems of linear operator inequalities in partially ordered normed linear spaces
description: scientific article; zbMATH DE number 3954665