Ever since the first hybrid fuzzy rough set model was pro- posed in the early 1990¿s, many researchers have focused on the definition of the lower and upper approximation of a fuzzy set by means of a fuzzy relation. In this paper, we review those proposals which generalize the logical connectives and quantifiers present in the rough set approxima- tions by means of corresponding fuzzy logic operations. We introduce a general model which encapsulates all of these proposals, evaluate it w.r.t. a number of desirable properties, and refine the existing axiomatic approach to characterize lower and upper approximation operators. © 2013 Springer-Verlag. ; This work was partially supported by the Spanish Ministry of Science and Technology under Project TIN2011-28488. Lluis Godo has been partially supported by the MINECO Project TIN2012-39348-C02-01. ; Peer Reviewed
Implicator-Conjunctor Based Models of Fuzzy Rough Sets: Definitions and Properties
2013-10-10
Article/Chapter (Book)
Electronic Resource
English
DDC: | 629 |
Implicator-Conjunctor Based Models of Fuzzy Rough Sets: Definitions and Properties
BASE | 2013
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