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- 2016
区间集上非交换剩余格的〈,(-overQ)〉-fuzzy滤子及其特征刻画
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Abstract:
摘要： 以区间集思想作为研究工具,讨论非交换剩余格和滤子理论,引入区间集上非交换剩余格与区间集上非交换剩余格fuzzy滤子的概念,给出区间集上非交换剩余格〈,(-overQ)〉-fuzzy滤子的代数结构,进一步得到若干等价性特征刻画,并对表示定理的充分必要条件予以证明。
Abstract: Taking the thought of interval sets as the research tool, the theories of non-commutative residual lattices are discussed on the interval sets and filters. The concepts of non-commutative residual lattices are introduced on interval sets and fuzzy filters of non-commutative residual lattices on interval sets. The algebraic structure of the 〈,(-overQ)〉-fuzzy filters of non-commutative residual lattices is provided on interval sets, and several equivalent characterization are received. A detailed demonstration for the necessary and sufficient conditions of the representation theorem is given
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