Semistrictly Convex Fuzzy Mappings  

作　　者：Yu E BAO Gong Xin WU 

机构地区：[1]College of Mathematics, Inner Mongolia University for the Nationalities, Neimongolia 028043, P. R. China [2]Department of Mathematics, Harbin Institute of Technology, Heilongjiang 150001, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2010年第4期571-580,共10页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10271035);the Scientific Research Foundation Project of Inner Mongolian Education Department (Grant No.NJ06088)

摘　　要：In this paper, a new class of fuzzy mappings called semistrictly convex fuzzy mappings is introduced and we present some properties of this kind of fuzzy mappings. In particular, we prove that a local minimum of a semistrictly convex fuzzy mapping is also a global minimum. We also discuss the relations among convexity, strict convexity and semistrict convexity of fuzzy mapping, and give several sufficient conditions for convexity and semistrict convexity.In this paper, a new class of fuzzy mappings called semistrictly convex fuzzy mappings is introduced and we present some properties of this kind of fuzzy mappings. In particular, we prove that a local minimum of a semistrictly convex fuzzy mapping is also a global minimum. We also discuss the relations among convexity, strict convexity and semistrict convexity of fuzzy mapping, and give several sufficient conditions for convexity and semistrict convexity.

关 键 词：CONVEXITY strict convexity semistrict convexity lower semicontinuity fuzzy mapping. 

分 类 号：O159[理学—数学]