J4 ›› 2011, Vol. 46 ›› Issue (11): 17-21.

• Articles • Previous Articles     Next Articles

β lower approximation attribute reduction in variable precision rough sets

YU Cheng-yi, LI Jin-jin*   

  1. Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China
  • Received:2010-10-25 Online:2011-11-20 Published:2011-11-30


From the view of attribute sets, the attribute reduction in the variable precision rough set model is studied. A new β lower approximation binary relation is defined. Using relations the equivalence relation is constructed on attribute sets and its power sets, and a dependence space is also produced. By applying the binary relation and dependence space,  judgement theorems for judging β lower approximation consistent sets are obtained, from which we provide a new attribute reduction algorithm. It can preserve β lower approximation in every decision class. Finally, a practical example illustrates the validity of the method.

Key words: variable precision rough sets; attribute reduction; β lower approximation binary relation; dependence space

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