New optimality conditions for multiobjective fuzzy programming problems

Document Type: Research Paper

Authors

1 Dpto. de Estadstica e I.O., Fac. Matematicas, Universidad de Sevilla. Spain

2 Dpto. Economa, Metodos Cuantitativos e Ha Economica, Universidad Pablo de Olavide, Sevilla, Spain

3 Dpto. de Matematica, Universidad de Tarapaca, Arica, Chile

4 Dpto. Estadstica e I.O., Universidad de Cadiz, Campus Jerez, Spain

10.22111/ijfs.2020.5345

Abstract

In this paper we study fuzzy multiobjective optimization problems defined for $n$ variables.  Based on a new $p$-dimensional fuzzy stationary-point definition,  necessary  efficiency conditions are obtained.  And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.

Keywords