Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1508-33
Keywords
Substantial efficiency, scalarization function, stable problem, quasi-substantial efficiency
First Page
293
Last Page
304
Recommended Citation
POURKARIMI, L, & KARIMI, M (2017). Characterization of substantially and quasi-substantially efficient solutions in multiobjective optimization problems. Turkish Journal of Mathematics 41 (2): 293-304. https://doi.org/10.3906/mat-1508-33
