On negations on [0,1].

Francesc Esteva; Xavier Domingo

Stochastica (1980)

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

Abstract

top
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

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.