Zedam Lemnaouar ; Amroune Abdelaziz
-
On the representation of L-M algebra by intuitionistic fuzzy subsets
arima:1845 -
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées,
October 7, 2006,
Volume 4, 2006
-
https://doi.org/10.46298/arima.1845
On the representation of L-M algebra by intuitionistic fuzzy subsetsArticle
Authors: Zedam Lemnaouar 1; Amroune Abdelaziz 1
NULL##NULL
Zedam Lemnaouar;Amroune Abdelaziz
1 Laboratory of Pure and Applied Mathematics
In this paper we introduce the notions of intuitionistic weak alpha-cut and untuitionistic strong alpha-cut of intuitionistic fuzzy subsets of a universe X. These notions lead us to show that the set IF(X) of all intuitionistic fuzzy subsets on a universe X can be equipped with a structure of involutive theta-valued Lukasiewicz-Moisil algebra. Conversely, we show that every involutive theta-valued Lukasiewicz-Moisil algebra can be embedded into an algebra of intuitionistic fuzzy subsets.