%0 Journal Article
%T 区间集上非交换剩余格的〈,(-overQ)〉-fuzzy滤子及其特征刻画<br>〈,(-overQ)〉-fuzzy filter and its characterization of the non-commutative residual lattices on the interval sets
%A 乔希民
%A 吴洪博&lt
%A br&gt
%A QIAO Xi-min
%A WU Hong-bo
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2015.116
%X 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。<br>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
%K 非可换模糊逻辑
%K 区间集上非交换剩余格
%K 区间集
%K 特征刻画
%K &lt
%K i&gt
%K (-overQ)&lt
%K /i&gt
%K 〉-fuzzy滤子
%K 〈
%K &lt
%K br&gt
%K non-commutative fuzzy logic
%K non-commutative residual lattices on the interval sets
%K characterization
%K 〈
%K &lt
%K i&gt
%K (-overQ)&lt
%K /i&gt
%K 〉-fuzzy filters
%K interval sets
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.116