区间集上非交换剩余格的广义fuzzy滤子  

Generalized Fuzzy Filter of the Non-commutative Residual Lattices on the Interval Sets

作　　者：罗俊丽 乔希民 LUO Junli;QIAO Ximin(College of Mathematics and Computer Application,Shangluo University,Shangluo 726000,Shaanxi China)

机构地区：[1]商洛学院数学与计算机应用学院

出　　处：《河南科学》2019年第11期1727-1731,共5页Henan Science

基　　金：国家自然科学基金（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项目资助（11JK0512）

摘　　要：将区间集思想与滤子理论相联系,建立了区间集上非交换剩余格的广义滤子与广义fuzzy滤子的概念,讨论了两者之间的相互等价表示定理,又进一步给出了它们间特征性质的刻画,以凸显代数逻辑结构系统的本质体系.The concept of generalized filters and generalized fuzzy filters for non-commutative residual lattices on the interval sets is established by connecting the interval set thought with the filter theory.The mutual equivalence representation theorem between the two is discussed,and the characterization of the characteristic properties between them is further given to highlight the essential system of algebraic logical structure system.

关 键 词：区间集思想 滤子理论 区间集上非交换剩余格 广义滤子 广义fuzzy滤子 等价性表示 

分 类 号：O141[理学—数学]