The Best Interval Representation of Fuzzy S-Implications and Automorphisms

— The aim of this work is to analyze interval fuzzy S-implications and interval automorphisms. Starting from any fuzzy S-implication, it is shown how to obtain an interval fuzzy S-implication canonically. We proved that the such interval fuzzy S-implications meet the optimality property and preserve the same properties satisfied by the fuzzy S-implication. In addition, commutative diagrams are used in order to relate fuzzy S-implications to interval fuzzy S-implications, and to understand how interval automorphisms act on interval Simplications, generating other interval fuzzy S-implications.

• Type: Conference
• Year: 2007
• Where: FUZZIEEE
• Authors: Benjamín C. Bedregal, Regivan H. Nunes Santiago, Renata Hax Sander Reiser, Graçaliz Pereira Dimuro
• Keywords: Artificial Intelligence, FUZZIEEE 2007, Interval Automorphisms, Interval Fuzzy S-implications, Interval Simplications