BL-代数的直觉模糊滤子  

Intuitionistic fuzzy filters of BL-algebras

作　　者：房卫平[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纺织高校基础科学学报》2013年第3期306-312,共7页Basic Sciences Journal of Textile Universities

摘　　要：在BL-代数和直觉模糊集理论的基础上,应用直觉模糊集的方法,定义了BL-代数上直觉模糊滤子和直觉模糊素滤子.然后,讨论了直觉模糊滤子和直觉模糊素滤子的相关性质以及如何由直觉模糊集生成直觉模糊滤子的方法;最后,研究了BL-代数上的直觉模糊滤子的全体的代数结构.Based on the theory of BL-algebras and intuitionistic fuzzy sets ,intuitionistic fuzzy filters and intuitionistic fuzzy prime filters are defined through the method of intuitionistic sets .Moreover ,some properties of intuitionistic fuzzy filters and intuitionistic fuzzy prime filters of BL-algebras are discussed and the relations between them are studied .Then ,the intuitionistic fuzzy filters generated by intuition-istic fuzzy set in BL-algebras is studied .Finally ,the algebraic structure of all intuitionistic fuzzy filters is discussed .

关 键 词：BL-代数 直觉模糊集 直觉模糊滤子 直觉模糊素滤子 直觉模糊滤子格 

分 类 号：O159[理学—数学]