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 |
