Characterization of substantially and quasi-substantially efficient solutions in multiobjective optimization problems

Authors: LATIF POURKARIMI, MASOUD KARIMI

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

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