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粗糙集的代数研究方法一直吸引着众多的研究人员,其中一个重要的研究方法是用算子的观点来看到粗糙集中的近似,并基于一般抽象代数结构来定义相应的粗糙近似算子。论文将分子格引入到粗糙集理论中作为基本代数系统,在分子格中构造了一个类似于闭包的子系统,并基于它们定义了更为一般和抽象的近似算子。文中还研究了相关粗近似结构的性质。
Algebraic research methods of rough sets have attracted many researchers. One of the most important research methods is to find the approximation in rough sets from the point of view of operators and to define the corresponding rough approximation operators based on general abstract algebraic structures. The paper introduces the molecular lattice into the rough set theory as the basic algebraic system, constructs a closet-like subsystem in the molecular lattice and defines more general and abstract approximation operators based on them. The paper also studies the properties of related rough approximations.