L-Fuzzy映射的像与逆像的表现  

Representations of Image and Inverse of L-Fuzzy Mappings

作　　者：张型岱[1] 

机构地区：[1]牡丹江师范学院数学系,黑龙江牡丹江157012

出　　处：《模糊系统与数学》2002年第1期24-28,共5页Fuzzy Systems and Mathematics

摘　　要：在文 [7]中 ,史福贵借助于 L - fuzzy关系引入了 L - fuzzy集间的 L - fuzzy映射的概念并借助于其水平截集给出了它的一些等价刻画但没有给出一个 L - fuzzy集的像与逆像的表示。本文的目的就是给出一个 L - fuzzy集的像与逆像的各种等价表示并给出了它们在 L - fuzzy代数中的几个简单应用。In , Shi Fu-gui introduced the concepts of L-fuzzy mappings of L-fuzzy sets by means of L-fuzzy relations and presented some equivalent characterizations in terms of their level cut sets. But he didn't present the representations of image and inverse-image of an L-fuzzy set under an L-fuzzy mapping. In this paper, we present the representations of image and inverse-image of an L-fuzzy set under an L-fuzzy mapping and give their a few applications in L-fuzzy algebra.

关 键 词：L-FUZZY集 L-FUZZY映射 L-FUZZY子群 L-FUZZY子环 完全分配格 

分 类 号：O159[理学—数学]