Academy & Industry Research Collaboration Center (AIRCC)

Volume 9, Number 14, November 2019

Implicative Filters in Some Fuzzy Logic Structures


Mbarek Zaoui, Driss Gretete and Khalid El Aroui, Ibn Tofail University, Morocco


In this paper, we attempt to find a characterization of some implicative filters in some fuzzy algebras. Towards this end, firstly, the notion of a De Morgan triples and properties of implicative filters in a de Morgan implicative structure are stated. finally, some interesting with detail of most classical cases of an implicative filters are given.


Fuzzy Logic, Implicative Filters, Logic Algebra, Triangular Norms