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INICIO |
27 de julio de 2024
Similarity in fuzzy reasoning.
| Título inglés | Similarity in fuzzy reasoning. |
|---|---|
| Título español | Similaridad en razonamiento difuso. |
| Autor/es | Klawonn, Frank ; Castro, Juan Luis |
| Organización | Dep. Comput. Sci. Univ. Braunschweig, Braunschweig, Alemania;Dep. Cienc. Comput. Intel. Artif. Esc. Tec. Super. Ing. Inform. Granada, Granada, España |
| Revista | 1134-5632 |
| Publicación | 1995, 2 (3): 197-228, 24 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | Fuzzy set theory is based on a `fuzzification' of the predicate in (element of), the concept of membership degrees is considered as fundamental. In this paper we elucidate the connection between indistinguishability modelled by fuzzy equivalence relations and fuzzy sets. We show that the indistinguishability inherent to fuzzy sets can be computed and that this indistinguishability cannot be overcome in approximate reasoning. For our investigations we generalize from the unit interval as the basis for fuzzy sets, to the framework of GL-monoids that can be understood as a generalization of MV-algebras. Residuation is a basic concept in GL-monoids and many proofs can be formulated in a simple and clear way instead of using special properties of the unit interval. |
| Clasificación UNESCO | 120105 |
| Palabras clave español | Lógica multivaluada ; Algebras de Wajsberg ; Conjuntos difusos ; Algebras de Boole ; Lógica matemática ; Lógica difusa |
| Código MathReviews | MR1395432 |
| Código Z-Math | Zbl 0859.04006 |
 Acceso al artículo completo |
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