- Turkish Journal of Mathematics
- Vol: 41 Issue: 2
- Characterization of substantially and quasi-substantially efficient solutions in multiobjective opti...
Characterization of substantially and quasi-substantially efficient solutions in multiobjective optimization problems
Authors : Latif Pourkarimi, Masoud Karimi
Pages : 293-304
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper, we study the notion of substantial efficiency for a given multiobjective optimization problem. We provide two characterizations for substantially efficient solutions: the first one is based on a scalar problem and the second one is in terms of a stability concept. Moreover, this paper introduces the notion of quasi-substantial efficiency. Similar to those of substantial efficiency, two characterizations for quasi-substantially efficient solutions are obtained.Keywords : Substantial efficiency, scalarization function, stable problem, quasi-substantial efficiency