A Hierarchical Procedure for the Synthesis of ANFIS Networks

Adaptive neurofuzzy inference systems (ANFIS) represent an efficient technique for the solution of function approximation problems. When numerical samples are available in this regard, the synthesis of ANFIS networks can be carried out exploiting clustering algorithms. Starting from a hyperplane clu...

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Main Author: Massimo Panella
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2012/491237
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author Massimo Panella
author_facet Massimo Panella
author_sort Massimo Panella
collection DOAJ
description Adaptive neurofuzzy inference systems (ANFIS) represent an efficient technique for the solution of function approximation problems. When numerical samples are available in this regard, the synthesis of ANFIS networks can be carried out exploiting clustering algorithms. Starting from a hyperplane clustering synthesis in the joint input-output space, a computationally efficient optimization of ANFIS networks is proposed in this paper. It is based on a hierarchical constructive procedure, by which the number of rules is progressively increased and the optimal one is automatically determined on the basis of learning theory in order to maximize the generalization capability of the resulting ANFIS network. Extensive computer simulations prove the validity of the proposed algorithm and show a favorable comparison with other well-established techniques.
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spelling doaj-art-3eb51415649740619eb1db9c18347ff92025-02-03T06:07:07ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/491237491237A Hierarchical Procedure for the Synthesis of ANFIS NetworksMassimo Panella0Department of Information Engineering, Electronics and Telecommunications (DIET), Sapienza University of Rome, via Eudossiana 18, 00184 Rome, ItalyAdaptive neurofuzzy inference systems (ANFIS) represent an efficient technique for the solution of function approximation problems. When numerical samples are available in this regard, the synthesis of ANFIS networks can be carried out exploiting clustering algorithms. Starting from a hyperplane clustering synthesis in the joint input-output space, a computationally efficient optimization of ANFIS networks is proposed in this paper. It is based on a hierarchical constructive procedure, by which the number of rules is progressively increased and the optimal one is automatically determined on the basis of learning theory in order to maximize the generalization capability of the resulting ANFIS network. Extensive computer simulations prove the validity of the proposed algorithm and show a favorable comparison with other well-established techniques.http://dx.doi.org/10.1155/2012/491237
spellingShingle Massimo Panella
A Hierarchical Procedure for the Synthesis of ANFIS Networks
Advances in Fuzzy Systems
title A Hierarchical Procedure for the Synthesis of ANFIS Networks
title_full A Hierarchical Procedure for the Synthesis of ANFIS Networks
title_fullStr A Hierarchical Procedure for the Synthesis of ANFIS Networks
title_full_unstemmed A Hierarchical Procedure for the Synthesis of ANFIS Networks
title_short A Hierarchical Procedure for the Synthesis of ANFIS Networks
title_sort hierarchical procedure for the synthesis of anfis networks
url http://dx.doi.org/10.1155/2012/491237
work_keys_str_mv AT massimopanella ahierarchicalprocedureforthesynthesisofanfisnetworks
AT massimopanella hierarchicalprocedureforthesynthesisofanfisnetworks