Título | T-norm based fuzzy logics preserving degrees of truth |

Publication Type | Conference Paper |

Year of Publication | 2008 |

Authors | Bou F [1], Esteva F [2], Font JMaria [3], Gil A [4], Godo L [5], Torrens A [6], Verdú V [7] |

Editor | [8] |

Conference Name | IPMU 2008 |

Paginación | 1053-1060 |

Resumen | T-norm based fuzzy logics are usually considered as {\it truth preserving}, that is, taking $1$ as the only truth value to be preserved in inferences. In this paper we study t-norm based fuzzy logics \textit{preserving degrees of truth}, that is, preserving the lower bounds of the truth degrees of the premises. These logics are axiomatizable by using a restricted form of Modus Ponens together with the rule of Adjunction for $\wedge$ and their properties turn out to be very diferent from the ones satisfied by the \textit{truth preserving logics}. For instance, they are selfextensional (but not Fregean) and with few exceptions they are not algebraizable (not even protoalgebraic). |