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International Journal of Machine Learning and Cybernetics
Published in: International Journal of Machine Learning and Cybernetics 12/2018

22-05-2017 | Original Article

On the characterization of fuzzy rough sets based on a pair of implications

Authors: Dechao Li, Weizhi Wu

Published in: International Journal of Machine Learning and Cybernetics | Issue 12/2018

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Abstract

Ouyang et al. (Inf Sci 180:532–542, 2010) introduced the concept of (I, J)-fuzzy rough sets based on a pair of implications. Considering axiomatic characterization of approximation operators play a significant role in rough set theory, this paper devotes mainly to characterizing (I, J)-fuzzy rough sets based on a pair of implications from both constructive and axiomatic approaches. We firstly investigate the relationship between the lower and upper approximation operators based on a pair of ordinary implications and special fuzzy relations. And then (I, J)-fuzzy rough operators based on some special fuzzy relations are characterized by single axioms, which ensure the existence of polytypic fuzzy relations generating the same (I, J)-fuzzy rough approximation operators.
previous article Delay-dependent robust absolute stability of uncertain Lurie singular systems with neutral type and time-varying delays
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Metadata
Title
On the characterization of fuzzy rough sets based on a pair of implications
Authors
Dechao Li
Weizhi Wu
Publication date
22-05-2017
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 12/2018
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-017-0690-8

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