A special class of fuzzified normal forms

Authors:
Omar Salazar Morales;José/ Jairo Soriano Mé/ndez
Affiliations:
Laboratory for Automation, Microelectronics and Computational Intelligence, Universidad Distrital Francisco José/ de Caldas, Bogot$#225/, D.C., Colombia;Laboratory for Automation, Microelectronics and Computational Intelligence, Universidad Distrital Francisco José/ de Caldas, Bogot$#225/, D.C., Colombia
Venue:
ICIC'11 Proceedings of the 7th international conference on Intelligent Computing: bio-inspired computing and applications
Year:
2011

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Abstract

A fuzzified normal form is obtained when the boolean operators are replaced with a t-norm, t-conorm and fuzzy complement in a boolean normal form. In this paper we present a special class of fuzzified normal forms which has some boolean properties. We can use these properties to design and to simplify the normal forms as in the boolean case. We present some theorems and one application in fuzzy control to justify the selection of fuzzy operators.