格蕴涵代数中的直觉模糊理想  

Intuitionistic Fuzzy Ideal of Lattice Implication Algebras

作　　者：朱华[1,2] 赵建彬[2] 徐扬[1] 

机构地区：[1]西南交通大学智能控制中心,四川成都610031 [2]郑州大学数学与统计学院,河南郑州450001

出　　处：《模糊系统与数学》2014年第1期23-28,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61175055);河南省教育厅科学技术研究重点项目(13B110383)

摘　　要：给出格蕴涵代数中直觉模糊理想的定义,并研究了其性质。然后讨论了直觉模糊理想与模糊理想和LI-理想之间的关系。证明了直觉模糊理想与直觉模糊滤子的对偶关系。最后,得到了直觉模糊理想的全体集合Ψ(L)构成L-闭包系统。In this paper, we introduced the notion of the intuitionistic fuzzy ideal in lattice implication algebras, and investigated its properties. Then we discuss the relations between the intuitionistic fuzzy ideal and fuzzy ideal, between the intuitionistic fuzzy ideal and LI-ideal. Next, we proved that the intuitionistic fuzzy ideal was the dual algebraic structure of the intuitionistic fuzzy filter. Finally, we obtained that all intuitionistic fuzzy ideals construct a closure system of （L）.

关 键 词：格蕴涵代数 模糊理想 直觉模糊理想 

分 类 号：O159[理学—数学]