Reference : On a natural fuzzification of Boolean logic
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On a natural fuzzification of Boolean logic
Bisdorff, Raymond mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) >]
Proceedings of the 25th Linz Seminar on Fuzzy Set Theory, Mathematics of Fuzzy Systems
Klement, Erich Peter, Pap, Endre
Bildungszentrum St. Magdalena
25th Linz Seminar on Fuzzy Set Theory, Mathematics of Fuzzy Systems.
Bildungszentrum St. Magdalena
[en] Fuzzy set theory ; Fuzzy logic ; Boolean logic
[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.

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