Título inglés | On negations on [0,1]. |
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Título español | Sobre funciones de negación en [0,1]. |
Autor/es | Esteva, Francesc ; Domingo, Xavier |
Organización | Dep. Mat. Estad. Esc. Téc. Super. Arquit. Barcelona, Barcelona, España |
Revista | 0210-7821 |
Publicación | 1980, 4 (2): 141-166, 15 Ref. |
Tipo de documento | articulo |
Idioma | Español |
Resumen inglés | In [12] Trillas proved that (P(X),∩,U,-n) is a quasi-Boolean algebra if and only if its negation has an additive generator. In this paper such result is generalized to PJ(X) and the symmetry of J is analized. From the results of Esteva ([11]) weak negations on [0,1] are studied; it is proved that such functions are monotonic, non-increasing, left-continuous and symmetrical with respect to y=x. Their classification relative to C([0,1]) is also given and a canonical element of each class is found. Finally strong and weak negations on a finite J are studied. |
Clasificación UNESCO | 120102 |
Palabras clave español | Función de negación ; Conjuntos difusos ; Generador aditivo |
Código MathReviews | MR0599138 |
Código Z-Math | Zbl 0448.03047 |
Acceso al artículo completo |