Computer Science ›› 2017, Vol. 44 ›› Issue (7): 232-236.doi: 10.11896/j.issn.1002-137X.2017.07.041

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Generalized Intuitionistic Fuzzy Rough Set Model

LU Yan-li, LEI Ying-jie and ZHOU Wei   

  • Online:2018-11-13 Published:2018-11-13

Abstract: Intuitionistic fuzzy set,proposed by Atanassov,is one of the most influential generalizations of Zadeh’s fuzzy sets.To extend the capability of Pawlak’s rough set theory in processing multiple uncertainties,intuitionistic fuzzy set and rough set were combined and a general model of intuitionistic fuzzy rough set was discussed by using constructive approach.Firstly,an equivalent definition of intuitionistic fuzzy set on a special lattice was introduced.Secondly,several important properties of intuitionistic fuzzy logic operators and intuitionistic fuzzy relation which are the two fundamental elements of intuitionistic fuzzy approximation space were proved,and then the model of intuitionistic fuzzy rough sets was constructed.Finally,the properties of proposed model were classified and examined respectively.

Key words: Rough set,Fuzzy set,Intuitionistic fuzzy set,Intuitionistic fuzzy relation

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