Coherence and Convexity of Euclidean Radial Implicative Fuzzy Systems

Authors: David Coufal
Publication year: 2014
Publication type: Kapitola v monografii
Periodical: Issues and Challenges of Intelligent Systems and Computational Intelligence
Projects: Modeling of complex systems for softcomputing methods
Bibliographic citation: COUFAL, David. Coherence and Convexity of Euclidean Radial Implicative Fuzzy Systems. In: KÓCZY, L., POZNA, C.R., KACPRZYK, J., eds. Issues and Challenges of Intelligent Systems and Computational Intelligence. Cham: Springer, 2014, S. 15-23. Studies in Computational Intelligence, 530. ISBN 978-3-319-03205-4
Dostupné z: doi:10.1007/978-3-319-03206-1_2
DOI: 10.1007/978-3-319-03206-1_2
ID: 423842

Abstract

The chapter discuss a necessary condition for coherence of radial implicative fuzzy systems. We present the general condition in an implicit form. The condition is based on the value of the minima of a certain function. We show that this function is convex. Further an explicit solution for Euclidean systems is provided.