摘要
商空间理论是粒度计算的3种主要方法之一,其合成技术研究的内容是探寻商空间与原空间的关系,目的是将复杂的问题简化,降低计算复杂性.论域合成旨在粒度变化,根据不同需要可进行细粒化和粗粒化.拓扑结构是商空间理论中独有的结构,其合成也有多种形式,除最细合成拓扑及半序结构的合成外,文中给出相对于最细合成拓扑的最粗合成拓扑,及基于逆商拓扑概念的逆商关系拓扑合成.拓扑的合成反映不同结构之间的关系.属性函数的合成意义在于形成不同等价关系下的论域,与论域的形成关系密切.这些研究扩充商空间合成技术的基础理论,使其更完善.
The theory of quotient space is one of the three main methods of granular computing. The research of its combination is to find the relationship between the quotient space and the original space and to reduce the computational complexity by simplifying complex problems. The combination of domains is intended to implement granularity transform, fine or coarse, according to the different needs. The topological structure is the unique structure in the quotient space theory, and its combination has a variety of forms. In addition to the fine combination and the semi-order structure combination, the coarse combination and the converse quotient combination based on the converse-quotient topology are presented. The combination reflects the relationship between different topological structures. The combination of attribute functions lies in the formation of different equivalence relation of domain. These studies extend the basic theory of quotient space combination and make it better.
出处
《模式识别与人工智能》
CSCD
北大核心
2013年第12期1115-1120,共6页
Pattern Recognition and Artificial Intelligence
基金
国家自然科学基金(No.61173052)
湖南省自然科学基金(No.14JJ4007)资助项目
关键词
商空间理论
合成
逆商拓扑
Quotient Space Theory, Combination, Converse Quotient Topology
