区间集上非交换剩余格的〈-∈,-∈∪-Q〉-fuzzy布尔滤子及其特征性质
On 〈-∈,-∈∪-Q〉-Fuzzy Boolean Filter and Its Characteristic Properties of Non-Commutative Residual Lattices on Interval Sets
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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.
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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
Abstract: 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). -
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