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
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