L-Fuzzy映射的刻画(英文)  

Characterizations 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2期48-51,共4页Fuzzy Systems and Mathematics

摘　　要：在文献 [6]中 ,史福贵借助于 L -fuzzy关系定义了 L -fuzzy集间的 L -fuzzy映射并借助于它们的水平截集给出了其若干刻画。在这篇文章中 ,我们将借助于另外的截集给出 L -fuzzy映射的一种新刻画。从而我们也得到了 L -fuzzy单射和 L -fuzzy满射的新刻画。In , Shi introduced L fuzzy mappings of L fuzzy sets by means of L fuzzy relations and gave their some characterizations by means of their level cut sets. In this paper, we shall present a new characterization of an L fuzzy mapping in terms of the other cut set. Hence we also obtain new characterizations of L fuzzy injection and L fuzzy surjection.

关 键 词：L-FUZZY集 L-FUZZY关系 L-FUZZY映射 L-fuzzy单射 L-fuzzy满射 

分 类 号：O159[理学—数学]