Quasi-stability of a vector trajectorial problem with non-linear partial criteria
Multi-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained. The problem is a discrete analogue of the lower semicont...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova
2003-10-01
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Series: | Computer Science Journal of Moldova |
Subjects: | |
Online Access: | http://www.math.md/files/csjm/v11-n2/v11-n2-(pp137-149).pdf |
Summary: | Multi-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained. The problem is a discrete analogue of the lower semicontinuity by Hausdorff of the optimal mapping. Mathematics Subject Classification 2000: 90C10, 90C05, 90C29, 90C31. |
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ISSN: | 1561-4042 |