Actions of Automorphisms on Some Classes of Fuzzy Bi-implications

  1. Callejas, C
  2. Marcos, J
  3. Bedregal, Benjamín
Journal:
Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology

ISSN: 1134-5632

Year of publication: 2013

Volume: 20

Issue: 1

Pages: 94-97

Type: Article

More publications in: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology

Abstract

In a previous paper we have studied two classes of fuzzy bi-implications based on t-norms and r-implications, and shown that they constitute increasingly weaker subclasses of the Fodor-Roubens bi-implication. Now we prove that each of these three classes of bi-implications is closed under automorphisms.