Rough Set and BCK algebra

Abstract

Abstract: Rough set algebra is portrayed in rough set theory which is an important direction of research. This paper in the form of a collection of [R(X),R(X)] defines binary operation[*]. It is proved that the set of the sequence accidentally constitutes a bounded BCK algebra. This paper also gives the basic nature, and lays a foundation for rough logic and reasoning.

Key words: Rough Set, upper approximation set, lower approximation set, BCK algebra

摘要： 粗糙集的代数刻画是粗糙集理论中研究的一个重要方向，在偶序对[R(X),R(X)]构成的集合中定义了二元运算[*]，证明了序偶对构成的集合构成了一个有界BCK代数，给出了基本的性质，为粗糙逻辑和粗糙推理奠定了基础。

关键词: 粗糙集, 上近似集, 下近似集, BCK代数

GAO Xianwen. Rough Set and BCK algebra[J]. Computer Engineering and Applications, 2012, 48(12): 92-95.

高显文. 粗糙集与BCK代数[J]. 计算机工程与应用, 2012, 48(12): 92-95.

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Rough Set and BCK algebra

粗糙集与BCK代数

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