模糊集、粗糙集和商空间理论的比较研究  

Comparison Research on Fuzzy Set,Rough Set and Quotient Space Theory

作　　者：赵立权[1] 

机构地区：[1]南京财经大学电子商务省重点实验室,南京210003

出　　处：《计算机工程》2011年第2期22-24,共3页Computer Engineering

基　　金：国家"973"计划基金资助项目(2004CB318108);教育部博士点基金资助项目(20040357002);江苏省教育厅重大基础研究基金资助项目(07KJA52004);江苏省教育厅留学基金资助项目;江苏省自然科学基金资助项目(BK2009349)

摘　　要：针对模糊集、粗糙集及商空间理论,从对智能的理解、粒的表示、粒度的定义和粒的关系这4个方面进行比较。分析比较结果可知,它们的共同之处有:用集合定义粒,用粒描述知识;不同之处有:词计算和粗糙集理论分别从微观角度研究词的推理和属性的约简,而商空间理论是从宏观角度研究粒度的变化规律。The fuzzy set, rough set and quotient space theory are compared in details from the viewpoints of understanding of intelligence, representation of granules, measurement of granules and relationship among granules. Their commons are to think problem from a granular perspective, to define a granule by a set and to represent a knowledge by a granulg： their main difference is that theory of computing with words and rough set theory focus on reasoning of words and attribute reduction from microcosmic level respectively, while quotient space theory discusses the translation rules of granules among the worlds with different grain-size from macrocosmic level.

关 键 词：粒度计算 商空间 粗糙集 模糊集 

分 类 号：TP311.52[自动化与计算机技术—计算机软件与理论]