TitleImplicator-Conjunctor Based Models of Fuzzy Rough Sets: Definitions and Properties
Publication TypeConference Paper
Year of Publication2013
AuthorsD´err L, Verbiest N, Cornelis C, Godo L
Conference Name14th International Conference, RSFDGrC 2013
EditionD. Ciucci et al.
PublisherSpringer Berlin Heidelberg
Conference LocationHalifax, Canada
Date Published11/10/2013

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.