摘要
在EQ代数和直觉模糊集理论的基础上,首先引入了EQ代数上(λ,μ)直觉模糊偏滤子和(λ,μ)直觉模糊偏截滤子的定义,讨论了它们的性质以及等价刻画;其次研究了EQ代数上(λ,μ)直觉模糊偏滤子的生成及结构;最后得到了(λ,μ)直觉模糊偏滤子是有界格而并非多格的结论.
Based on the theory of EQalgebras and intuitionistic fuzzy sets,the concepts of(λ,μ)intuitionistic fuzzy partial filters and(λ,μ)intuitionistic fuzzy partial intercept filters of EQ algebras are introduced and an equivalent relationship of them are discussed.Moreover,the intuitionistic fuzzy partial filters are generated by a intuitionistic fuzzy set in EQalgebras is studied.Finally,intuitionistic fuzzy partial filters is a bounded lattices not a multilattice are proved.
作者
姜曼
JIANG Man(School of Public Courses,Xi'an Traffic Engineering Institute,Xi'an 710300,China)
出处
《数学的实践与认识》
北大核心
2020年第17期211-216,共6页
Mathematics in Practice and Theory
基金
陕西省西安交通工程学院中青年项目基金(20KY-40)。
关键词
EQ代数
(λ
μ)直觉模糊集
(λ
μ)偏滤子
(λ
μ)直觉模糊偏截滤子
EQalgebra
(λ,μ)intuitionistic fuzzy set
(λ,μ)intuitionistic fuzzy partial filters
(λ,μ)intuitionistic fuzzy partial intercept filters
