A sufficient condition on coherence of S-shaped radial implicative fuzzy systems

Autoři: RNDr. Ing. David Coufal, Ph.D. et Ph.D.
Rok vydání: 2012
Typ publikace: Konferenční příspěvek (mezinárodní konf.)
Periodikum: WCCI 2012 IEEE World Congress on Computational Intelligence
Projekty: Analýza inteligentních distribuovaných výpočetních systémů
Bibliografická citace: COUFAL, David. A sufficient condition on coherence of S-shaped radial implicative fuzzy systems. In: WCCI 2012 IEEE World Congress on Computational Intelligence. Piscataway: IEEE, 2012, S. 1-8. ISBN 978-1-4673-1506-7. ISSN 1098-7584
Dostupné z: doi:10.1109/FUZZ-IEEE.2012.6251334
DOI: 10.1109/FUZZ-IEEE.2012.6251334
ID: 383959

Abstrakt

The paper addresses the issue of coherence of radial implicative fuzzy systems that use S-shaped fuzzy sets in antecedents of their rules. That means, in antecedents there are incorporated not only purely radial “bell shaped” fuzzy sets but also the S-shaped ones. We describe a computational model of these systems and introduce a sufficient condition that guarantees the existence of a consistent output for any possible input. In other words, we establish the condition assuring the rule base of a system to be non-contradictory for an arbitrary input.