格蕴涵代数的Ω-直觉模糊子代数  

The Ω-intuitionistic Fuzzy Subalgebras in the Lattice Implication Algebra

作　　者：傅小波[1] 廖祖华[2] 张建忠[1] 

机构地区：[1]无锡职业技术学院,江苏无锡214121 [2]江南大学理学院,江苏无锡214122

出　　处：《模糊系统与数学》2017年第5期33-42,共10页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61502204;611702121;11401259);江苏省自然科学基金资助项目(BK2015117);无锡职业技术学院校级科研课题(4016012931;3116015931)

摘　　要：在直觉模糊集概念的基础上,给定一个集合Ω,提出了Ω—直觉模糊集的概念。将Ω—直觉模糊集与格蕴涵代数相结合,给出了Ω-直觉模糊子代数的概念,并研究了其相关性质;讨论了Ω一直觉模糊子代数与Ω—模糊子代数之间的关系,得到了一些等价刻画。Give a set Ω, the notion of Ω--intuitionistic fuzzy sets is introduced on the basis of the intuitionistic fuzzy sets. By combining the Ω--intuitionistic fuzzy sets and the the lattice implication algebras, the concepts of Ω--intuitionistic fuzzy subalgebras is proposed, and some related properties are investigated. The relationships between Ω- intuitionistic fuzzy subalgebras and Ω- fuzzy subalgebras in the lattice implication algebras is also discussed, and then we obtain some equivalent characterizations.

关 键 词：格蕴涵代数 Ω-直觉模糊集 Ω-直觉模糊子代数 

分 类 号：O159[理学—数学]