基于拓扑分裂的属性拓扑粒结构分析

Attribute Topology Granular Analysis Based on Topology Split

属性拓扑是形式背景新的表示方法,其以属性及属性间的耦合关系为基础精确、可视化地刻画形式背景,有效降低概念计算的复杂度;属性拓扑是形式概念分析中的基础理论,而形式概念分析是粒度计算的重要应用方向;本文结合属性拓扑与粒计算,提出拓扑粒概念,并给出其生成方法与结果分析.其以属性拓扑为基础,以属性关联紧密度为切入点,通过分析属性拓扑顶点连接特性分析属性拓扑的粒度结构,并基于拓扑分裂提出一种属性拓扑粒结构分析算法,结合形式背景的阐述属性拓扑粒结构的实际意义,为属性拓扑粒结构分析提供一种思路与方法.

Attribute Topology is a novel representation method of formal context. It＇s based on attributes and attributes＇ coupling relationships, which makes the formal context visual and the concept computing simple. Attribute Topology is the basic theory of formal concept analysis while the formal concept analysis is an important research field of granular computing. By combining Attribute Topology and granular computing, the concept of Topology Granular and the method to get Topology Granular are proposed in this paper. This paper is based on Attribute Topology, makes the relationships among attribute as a tool, and analysis the Attribute Topology gran- ular by the feature of attributes＇ vertex. This paper also provides an algorithm of Attribute Topology Granular analysis based on topology split and explain the meaning of Topology Granular with formal context, which provides a new method and thought of Attribute Topology granular analysis.