[en] In this communication we propose two logically sound fuzzification and defuzzifi-
cation techniques for implementing a credibility calculus on a set of propositional
expressions. Both rely on a credibility evaluation domain using the rational in-
terval [−1, 1] where the sign carries a split truth/falseness denotation. The first
technique implements the classic min and max operators where as the second
technique implements Bochvar-like operators. Main interest in the communica-
tion is given to the concept of natural fuzzification of a propositional calculus.
A formal definition is proposed and the demonstration that both fuzzification
techniques indeed verify this definition is provided.
Disciplines :
Mathématiques
Auteur, co-auteur :
BISDORFF, Raymond ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC)
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
On a natural fuzzification of Boolean logic
Date de publication/diffusion :
février 2004
Nom de la manifestation :
25th Linz Seminar on Fuzzy Set Theory, Mathematics of Fuzzy Systems.
Organisateur de la manifestation :
Bildungszentrum St. Magdalena
Lieu de la manifestation :
Linz, Autriche
Date de la manifestation :
02-2004
Manifestation à portée :
International
Titre de l'ouvrage principal :
Proceedings of the 25th Linz Seminar on Fuzzy Set Theory, Mathematics of Fuzzy Systems
