区间集非交换剩余格〈∈,∈Q〉-广义fuzzy奇异滤子的构造与属性约简  

Structure and attribute reduction on non-commutative residual lattices〈∈,∈Q〉-generalized fuzzy singular filter of interval-set

作　　者：罗俊丽 乔希民 吴洪博[3] LUO Jun-li;QIAO Xi-min;WU Hong-bo(School of Mathematics and Computer Application,Shangluo College,Shangluo 726000,Shaanxi,China;Department of Genera Education,Guangzhou College of Technology and Business,Foshan 510850,Guangdong,China;School of Mathematics and Information Science,Shaanxi Normal University,Xian 710062,Shaanxi,China)

机构地区：[1]商洛学院数学与计算机应用学院,陕西商洛726000 [2]广州工商学院通识教育学院,广东佛山510850 [3]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《山东大学学报（理学版）》2022年第3期49-57,共9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项目(11JK0512);广州工商学院科研项目(KA202132)。

摘　　要：基于区间集思想、滤子理论和广义奇异概念,引入了区间集非交换剩余格和区间集非交换剩余格广义奇异滤子的定义,提出了构造区间集非交换剩余格广义fuzzy奇异滤子与区间集非交换剩余格〈∈,∈Q〉-广义fuzzy奇异滤子的方法,并给出它们之间的递进式本质属性与区间集相对必要属性的关系,体现代数结构表达的多样性与相对独立性。Based on the idea of interval-set,filter theory and generalized singular concept,the definitions of interval-set non-commutative residual lattices and interval-set non-commutative residual lattices generalized singular filters are introduced,the methods of constructing generalized fuzzy singular filters on interval-set non-commutative residual lattices and interval-set non-commutative residual lattices〈∈,∈Q〉-generalized fuzzy singular filters are proposed,the relation between the essential attribute of the progressive form and the relative necessary attribute of interval-set is given,which embodies the diversity and relative independence of the algebraic structure.

关 键 词：区间集 区间集非交换剩余格 广义fuzzy奇异滤子 〈∈ ∈Q〉-广义fuzzy奇异滤子 构造 属性约简 

分 类 号：O141[理学—数学]