弱凸和强凸模糊映射  

Weak Convex and Strong Convex Fuzzy Mappings

作　　者：殷明娥[1] 赵秋[2] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029 [2]鞍山师范学院教育科学与技术学院,辽宁鞍山114005

出　　处：《辽宁师范大学学报（自然科学版）》2006年第2期142-144,共3页Journal of Liaoning Normal University:Natural Science Edition

基　　金：辽宁省教育厅高等学校科研项目(A类)(2004C062)

摘　　要：在两个凸集之间引入了弱凸模糊映射和强凸模糊映射的概念.指出强凸模糊映射为弱凸模糊映射;凸映射一定为强凸模糊映射,若一个普通映射为弱凸模糊映射,则它一定为凸映射.证明了两个凸模糊子集可以确定一个弱凸模糊映射;两个弱(强)凸模糊映射的合成仍为弱(强)凸模糊映射;一个凸模糊子集在一个弱凸模糊映射之下的象和原象仍为凸模糊子集.The concepts of weak convex and strong convex fuzzy mapping are introduced between two convex sets. It points out that a strong convex fuzzy mapping is a weak convex fuzzy mapping; and a convex mapping must be a strong convex fuzzy mapping, and if a general mapping is a weak convex fuzzy mapping, it must be a convex mapping. It is proved that two convex fuzzy subsets can define a weak convex fuzzy mapping, the composition of two weak （strong） convex fuzzy mappings is a weak （strong） convex fuzzy mapping and the image and preimage of a convex fuzzy subset under a weak convex fuzzy mapping is also a convex fuzzy subset.

关 键 词：凸集 凸模糊子集 凸映射 弱凸模糊映射 强凸模糊映射 

分 类 号：O159[理学—数学]