BE-代数的直觉Q-模糊理想  

Intuitionistic Q-fuzzy ideal in BE-algebras

作　　者：王丰效 WANG Fengxiao(College of Mathematics and Statistics,Kashgar University,Kashgar 844000,China)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844000

出　　处：《安徽大学学报（自然科学版）》2020年第1期1-6,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11671217);新疆维吾尔自治区自然科学基金资助项目(2018D01A02);喀什大学高层次人才启动经费项目(GCC15ZK-007)。

摘　　要：对任意给定的集合Q,在BE-代数中引入直觉Q-模糊理想的概念,讨论它的相关性质;给出BE-代数的直觉Q-模糊理想的相关性质,讨论直觉Q-模糊理想成为模糊理想的充分必要条件;证明BE-代数直觉Q-模糊理想的交仍然是直觉Q-模糊理想.The aim of this paper is to introduce the notion of intuitionistic Q-fuzzy ideals in BE-algebra and to investigate some of their properties.Characterizations of an intuitionistic Q-fuzzy ideals were provided.The necessary and sufficient conditions for intuitionistic fuzzy set to be intuitionistic Q-fuzzy ideal for transitive BE-algebra was present.It is shown that the intersection of intuitionistic Q-fuzzy ideals were also intuitionistic Q-fuzzy ideal.

关 键 词：BE-代数 直觉Q-模糊集 直觉模糊理想 交集 

分 类 号：O159[理学—数学]