AB - Analogical proportions are statements of the form "A is to B as C is to D" which play a key role in analogical reasoning. We propose a logical encoding of analogical proportions in a propositional setting, which is then extended to different fuzzy logics. Being in an analogical proportion is viewed as a quaternary connective relating four propositional variables. Interestingly enough, the fuzzy formalizations that are thus obtained parallel numerical models of analogical proportions. Potential applications to case-based reasoning and learning are outlined. © 2009 Springer Berlin Heidelberg.
AU - Miclet, L
AU - Prade, H
DA - 2009/08/27
DO - 10.1007/978-3-642-02906-6_55
EP - 650
JO - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PY - 2009/08/27
SP - 638
TI - Handling analogical proportions in classical logic and fuzzy logics settings
VL - 5590 LNAI
Y1 - 2009/08/27
Y2 - 2019/10/23
ER -