直觉模糊强正则子环及其同态  

Intuitionistic Fuzzy Strong Regular Subrings and Its Homomorphisms

作　　者：罗晓棠[1] 廖祖华[1] 朱婵[1] 朱晓英[1] 郑高平[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《模糊系统与数学》2014年第5期65-70,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11001109);国家大学生创新创业训练计划项目(2050205);江南大学创新团队发展计划项目200902)

摘　　要：给出了直觉模糊强正则子环的定义,讨论了它的一些基本性质,得到了两个直觉模糊强正则子环的交仍是直觉模糊强正则子环,并利用直觉模糊集的截集给出了直觉模糊强正则子环的等价刻画。最后研究了直觉模糊强正则子环的同态像与原像的性质。In this paper, we introduce the definition of intuitionistic fuzzy strong regular subring, and discuss some basic properties of it. we obtain that the intersection of two intuitionistic fuzzy strong regular subring is also an intuitionistic fuzzy strong regular subring, and the equivalent characterization of intuitionistic fuzzy strong regular subring are given by the concept of cut sets on intuitionistic fuzzy sets. finally, we investigate properties of homomorphism image and preimage of intuitionistic fuzzy strong regular subring.

关 键 词：正则环 直觉模糊强正则子环 同态 

分 类 号：O159[理学—数学]