Ever since the first hybrid fuzzy rough set model was proposed 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 approximations 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.
CITATION STYLE
D’eer, L., Verbiest, N., Cornelis, C., & Godo, L. (2013). Implicator-conjunctor based models of fuzzy rough sets: Definitions and properties. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8170 LNAI, pp. 169–179). https://doi.org/10.1007/978-3-642-41218-9_18
Mendeley helps you to discover research relevant for your work.