Fuzzy Implications and the Weak Law of Importation

Some open problems on fuzzy implications dealing with the so-called importation law are studied and totally or partially solved in this work. In particular, it is proved that such property (in fact a weaker version than the law of importation) is stronger than the exchange principle. Along this study, new characterizations of (S, N)-implications and R-implications involving the law of importation are showed. Keywords-- Implication function, exchange principle, law of importation, (S, N)-implication, R-implication.

• Type: Journal
• Year: 2009
• Where: EUSFLAT
• Authors: Sebastià Massanet, Joan Torrens
• Keywords: EUSFLAT 2009, Exchange Principle, Fuzzy Logic, Importation, So-called Importation Law