摘要
基于区间集思想、滤子理论和广义Boole格概念,引入了区间集上非交换剩余格fuzzy布尔滤子及其相应的〈∈,∈∪Q〉-fuzzy布尔滤子的概念,给出构成区间集上非交换剩余格〈∈,∈∪Q〉-fuzzy布尔滤子的充要条件,以及I(2U)上的〈∈,∈∪Q〉-fuzzy布尔滤子的特征性质.
On the basis of the thought of interval sets,filter theory,and generalized Boolean lattice,the concepts of non-commutative residual lattices fuzzy Boolean filter and〈∈,∈∪Q〉-fuzzy Boolean filter on interval sets have been introduced,giving necessary and sufficient condition of structural non-commutative residual lattices〈∈,∈ ∪Q〉-fuzzy Boolean filter on interval sets,and characteristic properties of〈∈,∈∪Q〉-fuzzy Boolean filter on I（2U）.
出处
《西南师范大学学报（自然科学版）》
CAS
北大核心
2017年第8期1-8,共8页
Journal of Southwest China Normal University(Natural Science Edition)
基金
陕西省自然科学基础研究计划项目(2013JM1023)
陕西省教育厅科研计划项目(14JK1225)
关键词
区间集
区间集上非交换剩余格
〈∈
∈∪Q〉-fuzzy布尔滤子
特征性质
interval sets
non-commutative residual lattices on the interval sets
〈∈
∈∪Q〉-fuzzy Boolean filters
characteristic properties
