广义凸模糊映射  

Generalized Convex Fuzzy Mapping

作　　者：黄金莹[1] 赵宇[1] 

机构地区：[1]佳木斯大学理学院数学系,黑龙江佳木斯154007

出　　处：《模糊系统与数学》2012年第2期32-38,共7页Fuzzy Systems and Mathematics

基　　金：黑龙江省教育厅科学技术研究项目(11551499)

摘　　要：给出广义凸模糊映射、广义弱凸模糊映射等概念和若干特例。其次,构造集合Axf,y、Af,证明当f为下半连续广义弱凸模糊映射时Afx,y为闭弱凸集,进而得到广义凸模糊映射的充分条件。最后,给出广义凸模糊映射的性质,并指出半严格广义凸模糊映射成为严格广义凸模糊映射的条件。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.

关 键 词：广义凸模糊映射 广义弱凸模糊映射 条件P1 条件P2 

分 类 号：O159[理学—数学]