Implicator-Conjunctor Based Models of Fuzzy Rough Sets: Definitions and Properties
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 an...
| Autores: | , , , |
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| Tipo de recurso: | otro |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/133444 |
| Acceso en línea: | http://hdl.handle.net/10261/133444 |
| Access Level: | acceso abierto |
| Palabra clave: | Axiomatic approach Rough sets Fuzzy sets Hybridization Implication Lower and upper approximation Conjunction |
| Sumario: | 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. |
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