区间集上非交换剩余格广义fuzzy奇异滤子的特征刻画  

Characterization of Generalized Fuzzy Filters on Non-commutative Residual Lattices on Interval Set

作　　者：卢晶 乔希民 罗俊丽 吴洪博[2] Lu Jing;Qiao Ximin;Luo Junli;Wu Hongbo(College of Mathematics and Computer Application,Shangluo University,Shangluo 726000,China;College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,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]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《甘肃科学学报》2019年第5期12-16,22,共6页Journal of Gansu Sciences

基　　金：陕西省高校科协青年人托举计划项目(20180508);陕西省自然科学基础研究计划项目(2013JM1023)

摘　　要：在研究区间集思想、滤子理论和奇异概念的基础上,给出了区间集上非交换剩余格与区间集上非交换剩余格广义fuzzy奇异滤子的定义,得到了I(2U)的广义fuzzy奇异滤子的基本结构特征与基本性质表示定理,以凸显基于非交换逻辑的区间集上非交换剩余格的代数结构的多样性。Based on the study of interval set idea, filter theory and singularity concept, the definitions of non-commutative residual lattices on interval sets and generalized fuzzy singular filters on non-commutative residual lattices on interval sets are given. The basic structural features and basic property representation theorems of generalized fuzzy singular filters of I(2 U) are obtained to highlight the diversity of algebraic structures of non-commutative residual lattices on interval sets based on non-commutative logic.

关 键 词：区间集 区间集上非交换剩余格 区间集上非交换剩余格的广义fuzzy奇异滤子 特征刻画 

分 类 号：O141[理学—数学]