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Study of Grey Rough Set Model Based on Tolerance Relation

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4 Author(s)
S. X. Wu ; School of Economics and Management, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China; Center for Systems and Control, Xiamen University, Xiamen, Fujian 361005, China; Department of Electrical & Computer Engineering, National University of Singapore, 117576, Singapore. sxwu@xmu.edu.cn ; S. H. Shi ; S. F. Liu ; M. Q. Li

This paper analyses several extended rough set models in incomplete information systems and proposes a tolerance relation based model of processing grey incomplete information systems, which is an extension to rough set models. The method of the model is: firstly partitioning the original incomplete information system by introduced threshold value, then establishing tolerance classes through grey tolerance relation and obtaining upper and lower approximations through these tolerance classes. Moreover, a method of whitening grey numbers based on grey tolerance relation is given. This paper shows that the model accords with practice according to examples and the algorithm of whitening grey numbers is also comparatively ideal. The more important point is that the subjective needs are considered during partitioning grey tolerance classes by introducing threshold value. So it is consistent with the system methodology of person-oriented person-to-machine communication

Published in:

2006 9th International Conference on Control, Automation, Robotics and Vision

Date of Conference:

5-8 Dec. 2006