Efficiency and generalized concavity for multi-objective set-valued programming

Ş. Ţigan; I.M. Stancu-Minasian

doi:10.33993/jnaat322-752

Authors

Ş. Ţigan University of Medicine and Pharmacy “Iuliu Hatieganu”, Cluj-Napoca, Romania
I.M. Stancu-Minasian Romanian Academy, Bucharest, Romania

DOI:

https://doi.org/10.33993/jnaat322-752

Keywords:

vector set-valued programming, fractional programming, efficiency, proper efficiency, semistrict quasiconcavity, semiexplicit quasiconcavity

Abstract views: 211

Abstract

The purpose of this paper is to give sufficient conditions of generalized concavity type for a local (weakly) efficient solution to be a global (weakly) efficient solution for a vector maximization set-valued programming problem. In the particular case of the vector maximization set-valued fractional programming problem, we derive some characterizations properties of efficient and properly efficient solutions based on a parametric procedure associated to the fractional problem.

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References

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