Basic Fuzzy Logic is the logic of continuous t-norms and their residua

By R. Cignoli, F. Esteva, L. Godo, A. Torrell. Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2000

352 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/2c50368e15c5a0c584dd1829bd23aa9dc4aee23e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Franco Montagna
2. Peter Jipsen
3. Constantine Tsinakis

In Computational Theory and Mathematics

1. Franco Montagna
2. Peter Jipsen
3. Constantine Tsinakis
4. George Metcalfe

Citations in the corpus

• The Blok–Ferreirim theorem for normal GBL-algebras and its application (2009, background): “In [ CEGT00 ] it is shown that the variety of BL-algebras is generated by the class of residuated lattices arising from continuous t-norms on [0, 1] and their residuals, thus solving a problem raised in [Ha98a].”
• Monoidal t-norm based logic: towards a logic for left-continuous t-norms (2001, background): “First results were obtained by H( ajek himself in [12], but it was in [3] where Cignoli et al.”
• Many-Valued Logics (2007, neutral): “This was proved in [27].”