Directional derivatives and subdifferential of convex fuzzy mappings and application in convex fuzzy programming

摘要

In this paper, we put forward the concepts of directional derivative, differential and subdifferential of fuzzy mappings from R~n into E~1, and discuss the characterizations of directional derivative and differential by, respectively, using the directional derivative and differential of two crisp functions that are determined by the fuzzy mapping. And we also consider the problem of existence of directional derivative for convex fuzzy mappings, and discuss the relations among directional derivative, differential and subdifferential of fuzzy mappings. At last, we give two results of application in convex fuzzy programming.