Reference : On a natural fuzzification of Boolean logic
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
Computational Sciences
http://hdl.handle.net/10993/38740
On a natural fuzzification of Boolean logic
English
Bisdorff, Raymond mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) >]
Feb-2004
Proceedings of the 25th Linz Seminar on Fuzzy Set Theory, Mathematics of Fuzzy Systems
Klement, Erich Peter, Pap, Endre
Bildungszentrum St. Magdalena
6
Yes
International
Linz
Austria
25th Linz Seminar on Fuzzy Set Theory, Mathematics of Fuzzy Systems.
02-2004
Bildungszentrum St. Magdalena
Linz
Austria
[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.
http://hdl.handle.net/10993/38740

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