Samira Fatemi - Department of Mathematics, Sahand University of Technology, Tabriz, Iran,
Ildar Sadeqi - Department of Mathematics, Sahand University of Technology, Tabriz, Iran,
Fridoun Moradlou - Department of Mathematics, Sahand University of Technology, Tabriz, Iran,

The purpose of this paper is expression of the concepts of directional derivative, gradient and subdifferential of fuzzy mappings from Rn into F۰. Moreover, we study optimality conditions for the minimizing problem for the composite of fuzzy mappings.

Fuzzy number, Fuzzy mapping, Directional derivative, Differential, Subdifferential, Minimizing a composite fuzzy mapping.