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A Characterization of Lexicographic Max-Ordering Solutions

  • In this paper we give the definition of a solution concept in multicriteria combinatorial optimization. We show how Pareto, max-ordering and lexicographically optimal solutions can be incorporated in this framework. Furthermore we state some properties of lexicographic max-ordering solutions, which combine features of these three kinds of optimal solutions. Two of these properties, which are desirable from a decision maker" s point of view, are satisfied if and only of the solution concept is that of lexicographic max-ordering.

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Author:Matthias Ehrgott
URN (permanent link):urn:nbn:de:hbz:386-kluedo-4531
Serie (Series number):Report in Wirtschaftsmathematik (WIMA Report) (12)
Document Type:Preprint
Language of publication:English
Year of Completion:1999
Year of Publication:1999
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Tag:Combinatorial Optimization; Decision Making; Lexicographic Order; Max-Ordering; Multiple Criteria; Pareto Optimality
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011