Pareto reducible multicriteria optimization problems
A multicriteria optimization problem is said to be Pareto reducible if its weakly efficient solutions actually are efficient solutions for the problem itself or for a subproblem obtained from it by selecting certain criteria. The aim of this article is to provide sufficient conditions for Pareto red...
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| Published in | Optimization Vol. 54; no. 3; pp. 253 - 263 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Philadelphia
Taylor & Francis Group
01.06.2005
Taylor & Francis LLC |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0233-1934 1029-4945 |
| DOI | 10.1080/02331930500096213 |
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| Abstract | A multicriteria optimization problem is said to be Pareto reducible if its weakly efficient solutions actually are efficient solutions for the problem itself or for a subproblem obtained from it by selecting certain criteria. The aim of this article is to provide sufficient conditions for Pareto reducibility in a general framework, recovering in particular some known results concerning convex or explicitly quasiconvex criteria. |
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| AbstractList | A multicriteria optimization problem is said to be Pareto reducible if its weakly efficient solutions actually are efficient solutions for the problem itself or for a subproblem obtained from it by selecting certain criteria. The aim of this article is to provide sufficient conditions for Pareto reducibility in a general framework, recovering in particular some known results concerning convex or explicitly quasiconvex criteria. A multicriteria optimization problem is said to be Pareto reducible if its weakly efficient solutions actually are efficient solutions for the problem itself or for a subproblem obtained from it by selecting certain criteria. The aim of this article is to provide sufficient conditions for Pareto reducibility in a general framework, recovering in particular some known results concerning convex or explicitly quasiconvex criteria. [PUBLICATION ABSTRACT] |
| Author | Popovici, Nicolae |
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| Cites_doi | 10.1006/jmaa.2000.6960 10.1287/mnsc.30.11.1346 10.1080/02331930310001637396 10.1023/A:1017571214523 10.1023/A:1022448811953 |
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| SubjectTerms | Cone-radiant sets Hierarchies Mathematics Subject Classifications 2000: 90C29 Multicriteria optimization Optimization Pareto optimum Pareto reducibility Studies |
| Title | Pareto reducible multicriteria optimization problems |
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