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On a natural fuzzification of Boolean logic
Bisdorff, Raymond
2004In Klement, Erich Peter, Pap, Endre (Ed.) Proceedings of the 25th Linz Seminar on Fuzzy Set Theory, Mathematics of Fuzzy Systems
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Keywords :
Fuzzy set theory; Fuzzy logic; Boolean logic
Abstract :
[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 :
Mathematics
Author, co-author :
Bisdorff, Raymond ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC)
External co-authors :
no
Language :
English
Title :
On a natural fuzzification of Boolean logic
Publication date :
February 2004
Event name :
25th Linz Seminar on Fuzzy Set Theory, Mathematics of Fuzzy Systems.
Event organizer :
Bildungszentrum St. Magdalena
Event place :
Linz, Austria
Event date :
02-2004
Audience :
International
Main work title :
Proceedings of the 25th Linz Seminar on Fuzzy Set Theory, Mathematics of Fuzzy Systems
Author, co-author :
Klement, Erich Peter, Pap, Endre
Publisher :
Bildungszentrum St. Magdalena, Linz, Austria
Pages :
6
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
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since 11 February 2019

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