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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.1845On the representation of L-M algebra by intuitionistic fuzzy subsetsArticle
- 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.
Source: HAL:hal-01262046v1
Volume: Volume 4, 2006
Published on: October 7, 2006
Submitted on: March 20, 2006
Keywords: Lukasiewicz-Mosil algebras, Representation theorems, Intuitionistic fuzzy subsets,Algèbres de Moisil-Lukasiewicz,théorème de représentation,sous-ensemble flous intuitionistes,[INFO]Computer Science [cs],[MATH]Mathematics [math]
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