J4 ›› 2010, Vol. 45 ›› Issue (10): 109-115.

• Articles • Previous Articles     Next Articles

Reduction in general consistent approximate representation space

LI Jin-jin1, ZHANG Yan-lan2, XU Qing-yuan2   

  1. 1. Department of Information Science and Mathematics, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China;
    2. Department of Computer Science and Engineering, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China
  • Received:2009-08-20 Online:2010-10-16 Published:2010-10-19

Abstract:

The inclusion relation of topologies is used to recognize the theory of reduction in consistent approximate representation space. And then the equivalent relations of consistent approximate representation space are extend to general binary relations. The general consistent approximate representation space is defined. In general consistent approximate representation space,  the theory of relational reduction is given, and  an extension for the theory of reduction in consistent covering decision systems is introduced. Finally, the  model shows an application of the theory of reduction.

Key words: consistent approximate representation space;  general consistent approximate representation space; attribute reduction; relation reduction; topology; covering

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