Computer Science ›› 2017, Vol. 44 ›› Issue (1): 90-94.doi: 10.11896/j.issn.1002-137X.2017.01.017

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Multigranulation Covering Rough Intuitionistic Fuzzy Sets Model Based on Minimal and Maximal Descriptions

XUE Zhan-ao, SI Xiao-meng, WANG Nan and ZHU Tai-long   

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

Abstract: Covering rough sets and intuitionistic fuzzy sets,which have strong complementary,are the basic theories of dealing with uncertainty.It is a hot research topic to combine covering rough sets and intuitionistic fuzzy sets.In this paper,the combination of multigranularity covering rough sets and intuitionistic fuzzy sets was studied.Firstly,minimal and maximal descriptions,which are extended from single granulation to multigranulation,were proposed based on multigranulation,and the fusion of multigranularity was discussed.Secondly,the concept of fuzzy covering rough membership and non-membership was defined on minimal and maximal descriptions respectively.Then,two new models were structured,which are multigranulation covering rough intuitionistic fuzzy sets based on minimal description and multigranulation covering rough intuitionistic fuzzy sets based on maximal description,and their properties were discussed and illustrated with examples.Finally,the relationships of the two models were researched.This study provides a new method for the combination of multigranulation covering rough sets and intuitionistic fuzzy sets.

Key words: Multigranulation covering rough sets,Intuitionistic fuzzy sets,Minimal description,Maximal description,Fusion

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