基于新集对分析的粗糙集模型(英文)

Rough Set Model Based on New Set Pair Analysis

首先,在这篇文章里两个集合里的元素被分为三个相对独立的部分来研究。接下来,一种定量信息——元素数目被用来描述这两个集合间的关系,然后提出了基于元素数目的新集对分析思想;另一方面,引用含糊集中真隶属度和假隶属度的概念,提出了一种模糊集对联系度。然后,这两种集对分析思想分别被用到粗糙集理论中作为粗糙集模型的一种推广,此外还讨论了一些相关的性质。

Firstly, elements in two sets are studied, which are divided into three relatively independent parts. Nextly, a kind of quantification information-the number of elements, is used to describe the relation between two sets. Then, a new idea of set pair analysis is put forward based on the number of elements in the three parts. On the other hand, quoting the conception of truth-membership grade and false-membership grade in vague set, the connection degree of fuzzy set pair is proposed. Then, the two ideas of set pair analysis are introduced into rough set theories as a generalization of rough set model, respectively. Furthermore, some correlative properties are discussed.