On the invariance of the Pareto optimal set
In the previous paper presented at the 11th SOR, Darmstadt 1986, the authors had shown that the Pareto optimal set of a multicriteria problem remains invariable if on the objective vector function operates a strictly monotone operator of strictly monotone kind. In the present paper we give new proof...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vladimir Andrunachievici Institute of Mathematics and Computer Science
1993-12-01
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| Series: | Computer Science Journal of Moldova |
| Subjects: | |
| Online Access: | http://www.math.md/nrofdownloads.php?file=/files/csjm/v1-n3/v1-n3-(pp51-61).pdf |
| _version_ | 1817992250671497216 |
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| author | Vincentiu Dumitru Florica Luban |
| author_facet | Vincentiu Dumitru Florica Luban |
| author_sort | Vincentiu Dumitru |
| collection | DOAJ |
| description | In the previous paper presented at the 11th SOR, Darmstadt 1986, the authors had shown that the Pareto optimal set of a multicriteria problem remains invariable if on the objective vector function operates a strictly monotone operator of strictly monotone kind. In the present paper we give new proofs of two main theorems of this result and we show that the invariance of Pareto optimal set takes place also in the case of a topological transformation of the problem's variables. A possible interpretation of the above results in decision theory is suggested. |
| first_indexed | 2024-04-14T01:23:54Z |
| format | Article |
| id | doaj.art-d869a67823604225a8d033a6b100e4f4 |
| institution | Directory Open Access Journal |
| issn | 1561-4042 |
| language | English |
| last_indexed | 2024-04-14T01:23:54Z |
| publishDate | 1993-12-01 |
| publisher | Vladimir Andrunachievici Institute of Mathematics and Computer Science |
| record_format | Article |
| series | Computer Science Journal of Moldova |
| spelling | doaj.art-d869a67823604225a8d033a6b100e4f42022-12-22T02:20:32ZengVladimir Andrunachievici Institute of Mathematics and Computer ScienceComputer Science Journal of Moldova1561-40421993-12-0113(3)5161On the invariance of the Pareto optimal setVincentiu Dumitru0Florica Luban1The Academy of Economic Studies, Dept. of Cybernetics, 15-17 Calea Dorobantilor, Bucharest, 71131, ROMANIAThe Academy of Economic Studies, Dept. of Cybernetics, 15-17 Calea Dorobantilor, Bucharest, 71131, ROMANIAIn the previous paper presented at the 11th SOR, Darmstadt 1986, the authors had shown that the Pareto optimal set of a multicriteria problem remains invariable if on the objective vector function operates a strictly monotone operator of strictly monotone kind. In the present paper we give new proofs of two main theorems of this result and we show that the invariance of Pareto optimal set takes place also in the case of a topological transformation of the problem's variables. A possible interpretation of the above results in decision theory is suggested.http://www.math.md/nrofdownloads.php?file=/files/csjm/v1-n3/v1-n3-(pp51-61).pdfPareto invariancemonotone operators and topological maps in multicriteria optimization |
| spellingShingle | Vincentiu Dumitru Florica Luban On the invariance of the Pareto optimal set Computer Science Journal of Moldova Pareto invariance monotone operators and topological maps in multicriteria optimization |
| title | On the invariance of the Pareto optimal set |
| title_full | On the invariance of the Pareto optimal set |
| title_fullStr | On the invariance of the Pareto optimal set |
| title_full_unstemmed | On the invariance of the Pareto optimal set |
| title_short | On the invariance of the Pareto optimal set |
| title_sort | on the invariance of the pareto optimal set |
| topic | Pareto invariance monotone operators and topological maps in multicriteria optimization |
| url | http://www.math.md/nrofdownloads.php?file=/files/csjm/v1-n3/v1-n3-(pp51-61).pdf |
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