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A vectorization for nonconvex set-valued optimization.
- Source :
-
Turkish Journal of Mathematics . 2018, Vol. 42 Issue 4, p1815-1832. 18p. 8 Diagrams, 1 Graph. - Publication Year :
- 2018
-
Abstract
- Vectorization is a technique that replaces a set-valued optimization problem with a vector optimization problem. In this work, by using an extension of the Gerstewitz function, a vectorizing function is defined to replace a given set-valued optimization problem with respect to the set less order relation. Some properties of this function are studied. Moreover, relationships between a set-valued optimization problem and a vector optimization problem, derived via vectorization of this set-valued optimization problem, are examined. Furthermore, necessary and sufficient optimality conditions are presented without any convexity assumption. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13000098
- Volume :
- 42
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Turkish Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 130908796
- Full Text :
- https://doi.org/10.3906/mat-1707-75