相关集合论(英文)

Mutuality Sets

从知识是事物之间的联系的观点出发，提出一种新概念、新集合———相关集合，并进一步定义了相关强度和最相关集合．相关集合是等价关系的推广，它以集合形式说明了给定论域中部分元素同另一部分元素存在的对应关系；相关强度表示了给定集合之间的接近程度；最相关集合表达了给定概念集合之间的某种对应关系．它们可以用来化简知识库系统、表示结构化知识及研究传统关系的各种性质．文中给出了它们的定义和具体应用实例．

From the point of view that knowledge is the relations between things, a new set and concept, mutuality set is presented in this paper, and further definitions of mutuality intensity and the most mutual set are also given. Mutuality set is an extension of equivalence relations, and it shows the corresponding relations between some parts of the elements and other parts of the elements in a given universe sets; Mutuality intensity represents the degree of approximation between given sets; The most mutual set expresses some of corresponding relation between given concept sets. They can be used to simplify knowledge base systems, represent structural knowledge and study the properties of traditional relations. Their definitions and specific application examples are given in this paper.