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 [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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