运用区间集思想方法、滤子理论和广义Boole格,引入了区间集上非交换剩余格Fuzzy布尔滤子的定义,给出了区间集上非交换剩余格Fuzzy布尔滤子的等价刻画表示定理和特征性质.
Based on the thought of interval sets,filter theory,and generalized Boolean lattice,the concepts of Fuzzy Boolean filter of non-commutative residual lattices on interval sets have been introduced in this paper,giving representation theorem of equivalent characterization of Fuzzy Boolean filter and its characteristic properties.