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。

关键词: 粒度计算, 商空间, 粗糙集, 模糊集

Abstract: 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 granule; 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.

Key words: granular computing, quotient space, rough set, fuzzy set

中图分类号: 

• TP311.52