0442498 - ÚI 2015 US eng V - Research Report
Coufal, David
Radial Fuzzy Systems.
Cornell University, 2015. 41 s. arXiv.org e-Print archive, arXiv:1502.05591 [cs.SY].
R&D Projects: GA MŠMT(CZ) LD13002
Institutional support: RVO:67985807
Keywords : fuzzy systems * radial functions * coherence
Subject RIV: BB - Applied Statistics, Operational Research
Result website:
http://arxiv.org/abs/1502.05591

The class of radial fuzzy systems is introduced. The fuzzy systems in this class use radial functions to implement membership functions of fuzzy sets and exhibit a shape preservation property in antecedents of their rules. The property is called the radial property. It enables the radial fuzzy systems to have their computational model mathematically tractable under both conjunctive and implicative representations of their rule bases. Coherence of radial implicative fuzzy systems is discussed and a sufficient condition for coherence is stated.
Permanent Link: http://hdl.handle.net/11104/0245306