剩余格上的模糊滤子和模糊同余关系  

Fuzzy filters and fuzzy congruence relations on residuated lattices

作　　者：陈娟娟[1,2] 李生刚[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062 [2]西安理工大学理学院,西安710048

出　　处：《计算机工程与应用》2013年第17期12-14,共3页Computer Engineering and Applications

基　　金：国家自然科学基金(No.11071151)

摘　　要：介绍了剩余格上的模糊同余关系和模糊滤子的定义,给出了剩余格上模糊滤子和模糊同余关系间的一一对应,证明了在剩余格上模糊滤子和模糊同余关系上定义适当的序关系可使它们是完备格同构。In this paper, it introduces definition of fuzzy filters and fuzzy congruence relations on residuated lattices, then it gives a one-to-one correspondence from the set of all fuzzy filters and the set of all fuzzy filters in residuated lattice. It is proved that an appropriate order relation can be defined on the set of all fuzzy filters （resp., the set of all fuzzy filters） such that they are comolete lattice isomorphism.

关 键 词：剩余格 模糊滤子 模糊同余关系 

分 类 号：O153.1[理学—数学]