Title :
The stability of a class of generalized fuzzy Hopfield networks
Author :
Wang, Chun-lin ; Shilu, Fu ; Qi, Dan
Author_Institution :
Dept. of Found., Logistical Eng. Univ., Chongqing, China
Abstract :
A general dynamical fuzzy neural networks model-fuzzy Hopfield networks is developed, which is based on the fuzzy operator composition of max(V) and weakly continuous T-norms. It is shown that the model is global stable with the Hamming distance, and its equilibrium point (attractor) is Lyapunov stable. At last, a simple efficient learning algorithm -max-weight-matrix learning algorithm is proposed for it.
Keywords :
Hopfield neural nets; Lyapunov methods; fuzzy neural nets; learning (artificial intelligence); stability; Hamming distance; Lyapunov stability; class stability; equilibrium point; fuzzy operator composition; general dynamical fuzzy neural networks model; generalized fuzzy Hopfield network; max weight matrix learning algorithm; weakly continuous T-norms; Associative memory; Fuzzy neural networks; Fuzzy sets; Fuzzy systems; Hamming distance; Lyapunov method; Neural networks; Stability; Fuzzy Hopfield network; Global stability; Lyapunov stability; attractor;
Conference_Titel :
Apperceiving Computing and Intelligence Analysis, 2009. ICACIA 2009. International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-5204-0
Electronic_ISBN :
978-1-4244-5206-4
DOI :
10.1109/ICACIA.2009.5361139
