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Interval Valued R-Implications and Automorphisms
 

Summary: Interval Valued R-Implications and
Automorphisms
Benjam´in Bedregal1 Regivan Santiago1 Renata Reiser2
Gra¸caliz Dimuro 2
1Departamento de Inform´atica e Matem´atica Aplicada
Universidade Federal de Rio Grande do Norte
2Escola de Informatica
Universidade Cat´olica de Pelotas
Second Workshop on Logical and Semantic Frameworks, with
Applications
LSFA 2007 August 28th 2007, Ouro Preto, Brazil
Introduction
Triangular norms (t-norms) model conjunction in a fuzzy
semantics
There are several classes of t-norms.
Automorphisms act on t-norms generating in most of the
cases a new t-norm.
When we see t-norms as a semi-group operation the
automorphism yields an isomorphism between t-norms.
Fuzzy implications play an important role in fuzzy logic.

  

Source: Ayala-Rincón, Mauricio - Departamento de Matemática, Universidade de Brasília

 

Collections: Mathematics