Coradiant sets and $$\varepsilon $$ ε -efficiency in multiobjective optimization
| Autor: | Refail Kasimbeyli, Hadi Basirzadeh, Latif Pourkarimi, Abbas Sayadi-bander |
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| Rok vydání: | 2017 |
| Předmět: |
Mathematical optimization
021103 operations research Control and Optimization Applied Mathematics 0211 other engineering and technologies 010103 numerical & computational mathematics 02 engineering and technology Management Science and Operations Research Characterization (mathematics) 01 natural sciences Multi-objective optimization Computer Science Applications Set (abstract data type) Nonlinear system 0101 mathematics Separation property Mathematics |
| Zdroj: | Journal of Global Optimization. 68:587-600 |
| ISSN: | 1573-2916 0925-5001 |
| Popis: | This paper studies $$\varepsilon $$ź-efficiency in multiobjective optimization by using the so-called coradiant sets. Motivated by the nonlinear separation property for cones, a similar separation property for coradiant sets is investigated. A new notion, called Bishop---Phelps coradiant set is introduced and some appropriate properties of this set are studied. This paper also introduces the notions of $$\varepsilon $$ź-dual and augmented $$\varepsilon $$ź-dual for Bishop and Phelps coradiant sets. Using these notions, some scalarization and characterization properties for $$\varepsilon $$ź-efficient and proper $$\varepsilon $$ź-efficient points are proposed. |
| Databáze: | OpenAIRE |
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