General multi-granulation rough set over two universes

doi:10.3778/j.issn.1002-8331.1506-0062

Abstract

Abstract: The research of multi-granulation rough set is an important theory in recent years. In this paper, the multi-granulation and two universes are combined. Firstly, the support functions in different universes are defined；secondly, the general multi-granulation rough set approximation operators in different universes are constructed by support functions, and the properties of the approximation operators are studied. What’s more, the roughness and precision are discussed. Finally, an example about course selection in college students illustrates the feasibility and efficiency of this model.

Key words: rough set, multi-granulation, two universes, measure

摘要： 多粒度粗糙集是近几年来研究的热门课题之一。将多粒度粗糙集和双论域结合起来，首先定义了不同论域上的支撑函数；其次通过支撑函数建立了不同论域上的一般多粒度粗糙近似算子，研究了各个近似算子的性质。讨论了双论域的一般多粒度粗糙集的粗糙度和精确度；通过大学生选课这一实例验证了该模型的实用性和有效性。

关键词: 粗糙集, 多粒度, 双论域, 测度

SUN Wenxin. General multi-granulation rough set over two universes[J]. Computer Engineering and Applications, 2017, 53(4): 79-83.

孙文鑫. 双论域的一般多粒度粗糙集[J]. 计算机工程与应用, 2017, 53(4): 79-83.

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General multi-granulation rough set over two universes

双论域的一般多粒度粗糙集

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