M. R. Balooch Shahryari - Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran
O Sedaghatfar - Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran.

In this paper, the concept of convex fuzzy mapping from Rn to RF is introduced by using new generalized di erence. Also the con- cepts of fuzzy extended generalized -subgradient and -subdi erential are presented. Then Some features are obtained for generalized convex fuzzy mappings under generalized di erentiability. Finally, convex fuzzy epsilon-optimality mapping is discussed and convex fuzzy -optimality mapping are discussed and described.

Convex fuzzy mapping; Generalized ε-subgradient; General- ized ε-subdi erential; ε-optimality.