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On a natural fuzzification of Boolean logic
- Publication Year :
- 2004
-
Abstract
- 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.
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.od......2658..ca087124c8f725c81fe2b25ef20ab97b