JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (08): 86-91.doi: 10.6040/j.issn.1671-9352.1.2014.061

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Fuzzy roughness and rough entropy of covering based generalized rough intuitionistic fuzzy set model

SHI Su-wei1, LI Jin-jin1, TAN An-hui2   

  1. 1. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, Fujian, China;
    2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, China
  • Received:2014-06-02 Revised:2014-07-08 Published:2014-09-24

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Abstract: On the basis of the covering rough intuitionistisc fuzzy set model, this paper introduces the notions of roughness and rough entropy, by which the uncertainty measure of intuitionistisc fuzzy set is investigated and their properties are discussed. It is proved that the fuzzy roughness and rough entropy of intuitionistisc fuzzy sets are monotonously decreasing with the subdivision of covering sets by examples.

Key words: rough entropy, fuzzy roughness, rough set, intuitionistic fuzzy sets, covering

CLC Number: 

  • TP18
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