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〈∈,∈∪Q〉-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。
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 〈∈,∈∪〉-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.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2016年第2期102-107,共6页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(61572016)
陕西省自然科学基础研究计划项目(2013JM1023)
陕西省教育厅科研计划资助项目(11JK0512)