基于区间集思想与滤子理论,讨论区间集上非交换剩余格与区间集上非交换剩余格Fuzzy滤子,给出了区间集上非交换剩余格〈∈,∈∪Q〉-Fuzzy滤子的代数结构及若干等价性特征刻画的表示定理.
On the basis of the thought of interval sets and filter theory,non-commutative residual lattices and fuzzy filters on the interval sets were discussed,providing the algebraic structure of the〈∈,∈ ∪ Q〉-fuzzy filters of non-commutative residual lattices on interval sets,and giving the representation theorem of several equivalent characterization.