L-Fuzzy子环的L-Fuzzy直和  

L-Fuzzy Direct Sum of L-Fuzzy Subrings

作　　者：吴广庆[1] 

机构地区：[1]暨南大学珠海学院基础部,广东珠海519070

出　　处：《模糊系统与数学》2008年第2期59-64,共6页Fuzzy Systems and Mathematics

摘　　要：研究了L-fuzzy集的水平截集的性质,然后给出了当L是完全分配格时L-fuzzy子环的L-fuzzy直和的定义,它是通常环的直和概念的推广,并借助于水平截集得到了关于它们的若干等价刻画。In this paper, first we discuss some properties of the level cut sets of an L-fuzzy set. Then we introduce the concept of L-fuzzy direct sum of L-fuzzy subrings when L is a completely distributed lattice, which is a generalization of the concept of the direct sum of ring in general algebra. Furthermore, we obtain some equivalent characterizations of the L-fuzzy direct sum of L-fuzzy subrings by means of the level cut sets of an L-fuzzy set.

关 键 词：L-FUZZY子环 L-FUZZY理想 L-fuzzy子环的L-fuzzy直和 

分 类 号：O153[理学—数学]