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INICIO |
27 de julio de 2024
A reflection on what is a membership function.
| Título inglés | A reflection on what is a membership function. |
|---|---|
| Título español | Una reflexión sobre qué es una función de pertenencia. |
| Autor/es | Trillas, Enric ; Alsina, Claudi |
| Organización | Dep. Intel. Artif. Univ. Politéc. Madrid, Madrid, España;Secc. Mat. Informàt. Univ. Politèc. Catalunya, Barcelona, España |
| Revista | 1134-5632 |
| Publicación | 1999, 6 (2-3): 201-215, 13 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | This paper is just a first approach to the idea that the membership function μP of a fuzzy set labelled P is, basically, a measure on the set of linguistic expressions x is P for each x in the corresponding universe of discourse X. Estimating that the meaning of P (relatively to X) is nothing else than the use of P on X, these measures seem to be reached by generalizing to a preordered set the concept of Fuzzy Measure, introduced by M. Sugeno, when the preorder translates the primary use of the predicate P, that is a basic relationship like x is less P than y. The paper only deals with predicates whose use is made by means of numerical characteristics, but those cases on which the characteristics (if they exist) are not of a numerical nature are not considered. By generalizing DeLuca-Termini's sharpened order some typical membership functions are studied as measures. |
| Clasificación UNESCO | 120702 |
| Palabras clave español | Lógica difusa ; Función de pertenencia ; Medidas difusas |
| Código MathReviews | MR1774567 |
| Código Z-Math | Zbl 0968.28013 |
 Acceso al artículo completo |
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