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

Latif Pourkarimi | Zendy; Masoud Karimi | Zendy

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

Author(s) -

Latif Pourkarimi,

Masoud Karimi

Publication year - 2017

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1508-33

Subject(s) - characterization (materials science) , mathematics , mathematical optimization , scalar (mathematics) , stability (learning theory) , optimization problem , multi objective optimization , efficient algorithm , algorithm , computer science , geometry , machine learning , nanotechnology , materials science

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.

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