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Implicator-Conjunctor Based Models of Fuzzy Rough Sets: Definitions and Properties

AuthorsD'eer, Lynn; Verbiest, Nele; Cornelis, Chris; Godo, Lluis
KeywordsAxiomatic approach
Rough sets
Fuzzy sets
Lower and upper approximation
Issue Date10-Oct-2013
CitationLecture Notes in Computer Science 8170. Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, 14th International Conference, RSFDGrC 2013, Halifax, NS, Canada, October 11-14, 2013. Proceedings, pp. 169-179.
AbstractEver 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.
Identifiersdoi: 10.1007/978-3-642-41218-9_18
isbn: 978-3-642-41217-2
Appears in Collections:(IIIA) Comunicaciones congresos
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