区间集上非交换剩余格<∈,∈∪Q>-Fuzzy 滤子的特征刻画

摘要

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.