Coherence and Convexity of Euclidean Radial Implicative Fuzzy Systems

Autoři: RNDr. Ing. David Coufal, Ph.D. et Ph.D.
Rok vydání: 2014
Typ publikace: Kapitola v monografii
Periodikum: Issues and Challenges of Intelligent Systems and Computational Intelligence
Projekty: Modelování složitých systémů softcomputingovými metodami
Bibliografická citace: 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

Abstrakt

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.