粗糙集模型的拓广
The Extension of the Rough Set Model

作者: 王梦洁 * , 许爱琴 * , 王卫华 :武汉理工大学理学院; 刘永坚 :武汉理工大学计算机学院;

关键词: 容差关系包含关系粗糙集模型近似算子邻域系统The Rough Set Model Tolerance Relations Contains Relations Approximation Operators Neighborhood Systems

摘要:
由于信息的不完备以及论域上的二元关系常常是不等价的,需要将经典粗糙集模型进行扩充。一方面,将粗糙集模型中等价关系泛化为容差关系或包含关系,可将粗糙集模型的适用范围扩大,在此基础上研究其上、下近似算子,并通过案例对比两种关系的差别;另一方面,从基本知识粒度的构造和知识的表示方法上,研究基于邻域系统和粒度两个方面的上、下近似算子。

Abstract:
Because of the incomplete information and inequivalent binary relation on the domain, the classic rough set model will need to be expanded. On the one hand, the equivalence relations of the rough set model is extended to tolerance relations or inclusion relations, which can extend the application range. This paper studies high and low approximation operators on the basis of this method and compares with the two kinds of relations through case analysis. On the other hand, on the basic of granularity of knowledge structure and knowledge representation method, it studies the approximation operators from two aspects of neighborhood system and granularity.

文章引用: 王梦洁 , 许爱琴 , 刘永坚 , 王卫华 (2013) 粗糙集模型的拓广。 计算机科学与应用, 3, 228-231. doi: 10.12677/CSA.2013.34039

参考文献

[1] 李道国, 苗夺谦, 张东星, 张红云. 粒度计算研究综述[J]. 计算机科学, 2005, 32(9): 3-6.

[2] 王国胤, 姚一豫, 于洪. 粗糙集理论与应用研究综述[J]. 计算机学报, 2009, 32(7): 1231-1237.

[3] 顾力平,杨习贝. 基于一般二元关系的多粒度粗糙集模型[J].南京航空航天大学学报, 2013, 45(1): 125-128.

[4] 马周明, 李进金. 基于强对称关系的广义粗糙集模型[J]. 模式识别与人工智能, 2012, 25(4): 558-563.

[5] 代春艳. 粗糙集理论及其应用发展综述[J]. 重庆工商大学学报, 2004, 21(6): 575-579.

[6] 杨习贝, 杨静宇. 邻域系统粗糙集模型[J]. 南京理工大学学报, 2012, 36(2): 292-293.

[7] Y. H. Qian, J. Y. Liang and W. Wei. Pessimistic rough decision. Second International Workshop on Rough Sets Theory. Zhoushan, 19-21 October 2010, 440-449.

[8] R. Slowinskn, D. Vanderpooten. A generalized definition of rough approximations. ICS Research Report, 1996.

分享
Top