商空间理论是研究不同粒度世界的一种新的数学工具。
The theory of the quotient space is a new mathematical tool for the study of the different granularity world.
商空间理论在处理高维、不完备、复杂的、模糊的、海量数据时，有其独特的优势。
Quotient space theory for treatment of high-dimensional, incomplete, complex, vague, massive data, there are unique advantages.
主要讨论商空间理论中的结构问题，并与粗糙集方法进行比较，指出结构在粒度计算理论中的重要性。
In this paper discuss mostly the question of the structure of the quotient space theory. Comparing with rough set theory, point out the importance of the structure in granule computing theory.
本文讨论分形几何与商空间理论的关系，提出商分形的概念，并讨论分形图的逼近与商空间粒度计算之间的关系。
In this paper, the relationship between theory of fractal geometry and theory of quotient space is discussed and a new model which combines the character of granularity and fractal is put forward.
不久的将来，理论解释和新的发现可能为航空公司、卫星运营商以及其它空间天气的监测机构提前预报将要发生的太阳活动。
Theoretical explanation or no, the new finding may soon afford airlines, satellite operators and other watchers of space weather advance warning of impending solar activity.
文章将商空间粒度计算引入SAR图像的分类中，结合SAR图像特性，提出了一种基于粒度合成理论的SAR图像分类方法。
In this paper, combining the SAR imaging mechanism, the theory of granular computing of quotient space based SAR image classification algorithm is proposed.
为了更加有效地进行瓦斯数据挖掘，本文引入了商空间粒度计算理论、灰色模型、覆盖算法等。
For more effective meteorological data mining, this thesis introduces the quotient space granular computing theory, grey model, structural machine learning algorithm and so on.
为了更加有效地进行瓦斯数据挖掘，本文引入了商空间粒度计算理论、灰色模型、覆盖算法等。
For more effective meteorological data mining, this thesis introduces the quotient space granular computing theory, grey model, structural machine learning algorithm and so on.
应用推荐