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 subsets

Authors: Zedam Lemnaouar 1; Amroune Abdelaziz 1

  • 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.

https://doi.org/10.46298/arima.1845
Source: HAL:hal-01262046v1
Volume: Volume 4, 2006
Published on: October 7, 2006
Submitted on: March 20, 2006
Keywords: Intuitionistic fuzzy subsets, Representation theorems,Lukasiewicz-Mosil algebras,sous-ensemble flous intuitionistes,théorème de représentation,Algèbres de Moisil-Lukasiewicz,[INFO] Computer Science [cs],[MATH] Mathematics [math]

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