摘要
对BL-代数的(∈,∈∨q)-模糊滤子和(∈,∈∨q)-模糊滤子进行了较为细致的研究,首先,在非交换剩余上首次引入了(α,β]-模糊滤子的概念,将非交换剩余格上的模糊滤子,(∈,∈∨q)-模糊滤子和(∈,∈∨q)-模糊滤子纳入到(α,β]-模糊滤子体系之中;其次,在非交换剩余上引入了生成(α,β]-模糊滤子的概念,给出了一般模糊子集生成(α,β]-模糊滤子的方法,指出了一个非交换剩余格上全体(α,β]-模糊滤子之集构成一个完备格,并证明了在α=0的情况下格的分配性成立.
The（∈,∈∨q）-fuzzy filter and（∈,∈∨q）-fuzzy filter in BL-algebras have been studied intensively.Firstly,the concept of（α,β]-fuzzy filter are proposed in non-commutative resituated lattices,the fuzzy filters,（∈,∈∨q）-fuzzy filters and（∈,∈∨q）-fuzzy filters are embedded in the system of（α,β]-fuzzy filters in the non-commutative resituated lattices.Secondly,the method of generating（α,β]-fuzzy filters by L-fuzzy set is provided.Further,it is proved that the set of all the（α,β]-fuzzy filters on a non-commutative resituated lattice forms a complete lattice,which satisfies lattice＇s distributive law when α= 0.
出处
《安康学院学报》
2011年第2期5-10,共6页
Journal of Ankang University
基金
国家自然科学基金资助项目(10871121)
关键词
模糊逻释
非交换剩余格
(α
β]-模糊滤子
生成(α
β]-模糊滤子
完备格
分配格
fuzzy logic
non-commutative resituated lattices
（α
β]-fuzzy filters
generated（α
β]-fuzzy filters
complete lattice
distributive lattice
