This paper introduces a new learning algorithm for artificial neural networks, based on a fuzzy inference system ANBLIR. It is a computationally effective neuro-fuzzy system with parametrized fuzzy sets in the consequent parts of fuzzy if-then rules, which uses a conjunctive as well as a logical interpretation of those rules. In the original approach, the estimation of unknown system parameters was made by means of a combination of both gradient and least-squares methods. The novelty of the learning algorithm consists in the application of a deterministic annealing optimization method. It leads to an improvement in the neuro-fuzzy modelling performance. To show the validity of the introduced method, two examples of application concerning chaotic time series prediction and system identification problems are provided.
@article{bwmeta1.element.bwnjournal-article-amcv15i4p561bwm, author = {Czaba\'nski, Robert}, title = {Neuro-fuzzy modelling based on a deterministic annealing approach}, journal = {International Journal of Applied Mathematics and Computer Science}, volume = {15}, year = {2005}, pages = {561-576}, zbl = {1107.68080}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv15i4p561bwm} }
Czabański, Robert. Neuro-fuzzy modelling based on a deterministic annealing approach. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) pp. 561-576. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv15i4p561bwm/
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