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.
Substantial efficiency, scalarization function, stable problem, quasi-substantial efficiency
POURKARIMI, LATIF and KARIMI, MASOUD
"Characterization of substantially and quasi-substantially efficient solutions in multiobjective optimization problems,"
Turkish Journal of Mathematics: Vol. 41:
2, Article 7.
Available at: https://journals.tubitak.gov.tr/math/vol41/iss2/7