- Title
- Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation
- Creator
- Rubinov, Alex; Gasimov, Rafail
- Date
- 2004
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/37015
- Identifier
- vital:757
- Identifier
-
https://doi.org/10.1023/B:JOGO.0000047914.22567.66
- Identifier
- ISSN:0925-5001
- Abstract
- We consider problems of vector optimization with preferences that are not necessarily a pre-order relation. We introduce the class of functions which can serve for a scalarization of these problems and consider a scalar duality based on recently developed methods for non-linear penalization scalar problems with a single constraint.; C1
- Publisher
- Springer
- Relation
- Journal of Global Optimization Vol. 29, no. 4 (2004), p. 455-477
- Rights
- Copyright Springer
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0802 Computation Theory and Mathematics; Duality; Preferences; Scalarization; Vector optimisation; Functions; Nonlinear systems; Optimisation; Perturbation techniques; Problem solving; Set theory; Theorem proving; Vectors
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