Generalized Convex Fuzzy Mapping
Zhao Yu · Mohu xitong yu shuxue · 2012
First,the aim of this paper is to give the definitions of generalized convex fuzzy mapping,generalized weakly convex fuzzy mapping and some examples.Second,the author constructs sets Afx,y,Af and obtains that Afx,y is closed weakly convex sets when f is lower semicontinuous generalized weakly convex fuzzy mapping.Furthermore,the author obtains sufficient conditions of generalized convex fuzzy mapping.At last,some properities of generalized convex fuzzy mapping and conditions of semi-strictly generalized convex fuzzy mapping become strictly generalized convex fuzzy mapping are given.