基于一般二元关系粗糙近似算子的格结构研究  

Research on Lattice Structure Based on General Binary Relationship Rough Approximation Operators

作　　者：王豪 刘银山 秦克云[1] WANG Hao;LIU Yinshan;QIN Keyun(School of Mathematics,Southwest Jiaotong University,Chengdu 611756 China)

机构地区：[1]西南交通大学数学学院,四川成都611756

出　　处：《西华大学学报（自然科学版）》2024年第1期97-102,共6页Journal of Xihua University:Natural Science Edition

基　　金：国家自然科学基金资助项目(12271319、61976130)。

摘　　要：刻画了基于一般二元关系及悲观多粒度粗糙近似算子的完备格结构,证明了在选取蕴涵算子之后,基于一般二元关系的粗糙近似算子构成MV、R0与布尔代数。A complete lattice structure based on general binary relationships and pessimistic multi granularity rough approximation operators was characterized.After selecting implication operators,MV,R0,and Boolean algebra were constructed based on general binary relationship rough approximation oper-ators.

关 键 词：一般二元关系 近似算子 完备格 剩余格 

分 类 号：O159[理学—数学]