摘要
提出BL-代数的直觉模糊滤子度的概念,给出其的等价刻画,并用直觉模糊滤子度来讨论BL-代数上的直觉模糊子集是直觉模糊滤子的程度.对于BL-代数的一个直觉模糊集,建立其(强)截集构成的滤子与其直觉模糊滤子度之间的关系.讨论了直觉模糊子集的交、直积的直觉模糊滤子度以及BL-代数的直觉模糊子集的同态像与逆像的直觉模糊滤子度.
The concept of the measure of intuitionistic fuzzy filters on BL-algebra is proposed,andits equivalent characterizations are given.This paper discusses the degree to which intuitionistic fuzzysubset on BL-algebras is intuitionistic fuzzy filter by using measure of intuitionistic fuzzy filters.Foran intuitionistic fuzzy set of BL-algebras,the relationship between the filter constructed by its(strong)cut set and the measure of its intuitionistic fuzzy filter is established.This paper discusses the measuresof intuitionistic fuzzy filters for the intersection and the direct product of intuitionistic fuzzy subsets.Meanwhile,the measures of intuitionistic fuzzy filters about the homomorphism image and inverseimage of the intuitionistic on BL-algebras are discussed。
作者
彭家寅
Peng Jiayin(Department of Mathematics and Information Science,Neijiang Normal University,Neijiang 641100,China)
出处
《纯粹数学与应用数学》
2021年第2期227-242,共16页
Pure and Applied Mathematics
基金
国家自然科学基金(1171284)
教育部数学与应用数学专业综合改革(ZG0464)
四川省数学与应用数学专业卓越教师培养计划(ZY16001)
四川省教育厅科研创新团队基金(15TD0027).
关键词
BL-代数
滤子
R^(-)-直觉蕴涵
直觉模糊滤子
直觉模糊滤子度
BL-algebra
filter
R^(-)-intuitionistic implication
intuitionistic fuzzy filter
intuitionistic fuzzy filter degree
作者简介
彭家寅(1962-),博士,教授,研究方向:模糊数学与人工智能.
