Fuzzy模格的定义及其性质  

The definitions and properties discussion on Fuzzy modular lattice

作　　者：胡清峰[1] 潘福铮[1] 

机构地区：[1]湖北大学数学与计算机科学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2006年第2期117-120,共4页Journal of Hubei University：Natural Science

摘　　要：代数结构的Fuzzy化其基本目的是对Fuzzy集尽可能地利用经典代数的丰富工具处理有关问题;代数结构的Fuzzy化的关键是选择好对Fuzzy代数结构的定义.对Fuzzy格作了重新定义,进而对现有文献中尚未研究的模格的Fuzzy化做了一些有益的探索:给出了Fuzzy点形式的Fuzzy模格的定义,并得到一些基本的与经典代数类似的Fuzzy模格的性质.The fundamental purpose of algebraical fuzziness is to apply classic algebra tool to solve the related problems of Fuzzy sets, whose key lies in choosing its definition. In this paper, at first, Fuzzy lattice is redefinited. Furthermore, we discuss its basic characteristic. Finally, in this paper the concept of Fuzzy modular lattice is presented and the characteristics of Fuzzy modular lattice, which are similar to classic algebra, are obtained.

关 键 词：Fuzzy同构 Fuzzy(子)格 Fuzzy模格 

分 类 号：O159[理学—数学]