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Granular fuzzy rough sets based on fuzzy implicators and coimplicators

Authors :
Bao Qing Hu
Bo Wen Fang
Source :
Fuzzy Sets and Systems. 359:112-139
Publication Year :
2019
Publisher :
Elsevier BV, 2019.

Abstract

This paper introduces granular fuzzy rough sets in the view of fuzzy implicators and fuzzy coimplicators, and discusses the constructive and axiomatic approach to fuzzy granules based on fuzzy implicators and coimplicators. Moreover, we study the connection between fuzzy granules and fuzzy relations and discuss the relationship between existing granular fuzzy rough set models and that proposed in this paper. Considering the absolute error limit, we introduce the concept of the granular variable precision fuzzy rough sets based on fuzzy implicators and coimplicators. Then we present four propositions to ensure that the approximation operators can be efficiently calculated.

Details

ISSN :
01650114
Volume :
359
Database :
OpenAIRE
Journal :
Fuzzy Sets and Systems
Accession number :
edsair.doi...........ef4c14a31f42d3b6d38a09772e6b3fbf