区间集非交换剩余格广义Fuzzy滤子的构造性刻画  

Constructive Characterization of Interval Sets Non-commutative Residual Lattice Generalized Fuzzy Filter

作　　者：乔希民 谢小军 罗俊丽 吴洪博[3] QIAO Ximin;XIE Xiaojun;LUO Junli;WU Hongbo(Department of Basic Education, Guangzhou College of Technology and Business, Foshan 510850, China;School of Mathematics and Computer Application, Shangluo College, Shangluo 726000, China;School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China)

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

出　　处：《渭南师范学院学报》2021年第11期81-86,共6页Journal of Weinan Normal University

基　　金：国家自然科学基金项目:计量逻辑中真度理论的推广及应用研究(61572016);广州工商学院科研课题:基于三角模糊数时间序列的组合预测模型研究(KA202132)。

摘　　要：以区间集思想和滤子理论作为研究工具,给出区间集非交换剩余格的定义,讨论区间集非交换剩余格广义Fuzzy滤子的属性约简的构成和代数结构,进一步构造性地研究了它们之间的等价性表示定理的特征刻画,彰显区间集非交换剩余格概念的内在相容性。Based on interval sets and the filter theory,the concept of interval sets non-commutative residual lattice is introduced.The composition and algebraic structure of attribute reduction of interval sets non-commutative residual lattice generalized fuzzy filter are discussed,and the characterization of the equivalence representation theorem between them is studied constructively,which shows the internal consistency of the concept of interval sets non-commutative residual lattice.

关 键 词：区间集 区间集非交换剩余格 广义Fuzzy滤子 构造性 

分 类 号：O141[理学—数学]