J4 ›› 2011, Vol. 46 ›› Issue (8): 104-109.

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Properties of interval-valued intuitionistic fuzzy rough sets with implicators

LIN Meng-lei1, YANG Wei-ping2   

  1. 1. Department of Computer Science and Engineering, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China;
    2. Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China
  • Received:2010-12-19 Online:2011-08-20 Published:2011-09-08

Abstract:

 By employing two interval-valued intuitionistic fuzzy implicators I and J, interval-valued intuitionistic fuzzy rough sets with implicators are first defined in the intervalvalued intuitionistic fuzzy approximation space. Properties of interval-valued intuitionistic fuzzy rough sets with implicators are proved. Finally, the reflexivity, symmetry and transitivity of interval-valued intuitionistic fuzzy relations are characterized.

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