On negations on [0,1].

Francesc Esteva; Xavier Domingo

Stochastica (1980)

  • Volume: 4, Issue: 2, page 141-166
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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Esteva, Francesc, and Domingo, Xavier. "Sobre funciones de negación en [0,1].." Stochastica 4.2 (1980): 141-166. <http://eudml.org/doc/38822>.

@article{Esteva1980,
author = {Esteva, Francesc, Domingo, Xavier},
journal = {Stochastica},
keywords = {Función de negación; Conjuntos difusos; Generador aditivo; negation function; quasi-Boolean algebra; weak negations},
language = {spa},
number = {2},
pages = {141-166},
title = {Sobre funciones de negación en [0,1].},
url = {http://eudml.org/doc/38822},
volume = {4},
year = {1980},
}

TY - JOUR
AU - Esteva, Francesc
AU - Domingo, Xavier
TI - Sobre funciones de negación en [0,1].
JO - Stochastica
PY - 1980
VL - 4
IS - 2
SP - 141
EP - 166
LA - spa
KW - Función de negación; Conjuntos difusos; Generador aditivo; negation function; quasi-Boolean algebra; weak negations
UR - http://eudml.org/doc/38822
ER -

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