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

Authors

LATIF POURKARIMI
MASOUD KARIMI

DOI

10.3906/mat-1508-33

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

First Page

293

Last Page

304

Recommended Citation

POURKARIMI, LATIF and KARIMI, MASOUD (2017) "Characterization of substantially and quasi-substantially efficient solutions in multiobjective optimization problems," Turkish Journal of Mathematics: Vol. 41: No. 2, Article 7. https://doi.org/10.3906/mat-1508-33
Available at: https://journals.tubitak.gov.tr/math/vol41/iss2/7