Title :
On a Class of Continuous Triangular Norms
Author :
Fodor, János ; Rudas, Imre J.
Author_Institution :
Budapest Tech, Budapest
Abstract :
In this paper we completely describe all continuous migrative triangular norms. Since the migrative property excludes both idempotent and nilpotent classes, the characterization and construction is carried out by solving a functional equation for additive generators of strict t-norms. We also study cases when the construction results in a smooth generator.
Keywords :
functional equations; fuzzy set theory; continuous triangular norms; functional equation; idempotent classes; migrative property; nilpotent classes; Additives; Character generation; Equations; Intelligent systems; Prototypes; Systems engineering and theory; Turning;
Conference_Titel :
Soft Computing Applications, 2007. SOFA 2007. 2nd International Workshop on
Conference_Location :
Oradea
Print_ISBN :
978-1-4244-1608-0
Electronic_ISBN :
978-1-4244-1608-0
DOI :
10.1109/SOFA.2007.4318306
