Genetic Algorithm for Fuzzy Neural Networks using Locally Crossover

Dragos Arotaritei

Abstract


Fuzzy feed-forward (FFNR) and fuzzy recurrent networks (FRNN) proved to be solutions for "real world problems". In the most cases, the learning algorithms are based on gradient techniques adapted for fuzzy logic with heuristic rules in the case of fuzzy numbers. In this paper we propose a learning mechanism based on genetic algorithms (GA) with locally crossover that can be applied to various topologies of fuzzy neural networks with fuzzy numbers. The mechanism is applied to FFNR and FRNN with L-R fuzzy numbers as inputs, outputs and weights and fuzzy arithmetic as forward signal propagation. The α-cuts and fuzzy biases are also taken into account. The effectiveness of the proposed method is proven in two applications: the mapping a vector of triangular fuzzy numbers into another vector of triangular fuzzy numbers for FFNR and the dynamic capture of fuzzy sinusoidal oscillations for FRNN.

Keywords


rules, figures, citation of papers, citation of books, examples

Full Text:

PDF

References


S. Haykin, Neural Networks: A Comprehensive Foundation, Prentice Hall, 1998.

D.J. Dubois, H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, 1980.

D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley Professional, 1989.

J. R. Koza, Genetic Programming: On the Programming of Computers by Means of Natural Selection, The MIT Press, 1992.

O. Cordon, V. Herrera, M. Lozano, On the Combination of Fuzzy Logic and Evolutionary Computation: a short review and Bibliography, in: W. Pedrycz (Ed.), Evolutionary Computation, Kluwer Academic Publishers, Dordrecht, pp.33-56, 1997.
http://dx.doi.org/10.1007/978-1-4615-6135-4_2

Y. Hayashi et. al., Fuzzy Control Rules in Convex Optimization, Fuzzy Neural Networks with Fuzzy Signals and Weights IJCNN'92, Vol. 2, pp. 165-195, 1992.

H. Ishibuchi, K. Kwon, H.Tanaka, A learning algorithm on fuzzy neural networks with triangular fuzzy weights, Fuzzy Sets and Systems, Vol. 72, No. 3, pp. 257-264, 1995.
http://dx.doi.org/10.1016/0165-0114(94)00281-b

H. Ishibuchi, R. Fujioka, H.Tanaka, An Architecture of Neural Networks for Input Vectors of Fuzzy Numbers, Proc. FUZZ-IEEE '92, San Diego, USA, pp. 643-650, 1992.
http://dx.doi.org/10.1109/fuzzy.1992.258597

H.N. Teodorescu, D. Arotaritei, E. Lopez Gonzales, A General Trail-and-Error Algorithm for Algebraic Fuzzy Neural Networks, Proceedings of the Fourth European Congress on Intelligent Techniques and Soft Computing, Aachen, Germany, September 2-5, Vol. 1, pp. 8-12, 1996.

D. Arotaritei, Recurrent Algebraic Fuzzy Neural Networks based on Fuzzy Numbers, Joint 9th IFSA World Congress and 20th NAFIPS International Conference, Vol. 5, pp. 2676 - 2680, 2001.

R.A. Aliev, B. Fazlollahi, R.M. Vahidov, Genetic algorithm-based learning of fuzzy neural network, Part 1: feed-forward fuzzy neural networks, Fuzzy Sets and Systems, Vol. 118, Issue 2, pp. 351-358, 2001.
http://dx.doi.org/10.1016/S0165-0114(98)00461-8

R. A. Aliev, R. R. Aliev, B. G. Guirimov, K. Uyar, Recurrent Fuzzy Neural Network Based System for Battery Charging, Lecture Notes in Computer Science, Vol. 4492, pp. 307-316, 2007.
http://dx.doi.org/10.1007/978-3-540-72393-6_38

L.A. Zadeh, Fuzzy Sets, Inform. Control 8, pp. 338-353, 1965.
http://dx.doi.org/10.1016/S0019-9958(65)90241-X

R.J. Williams, D. Zipser, A learning algorithm for continually running fully recurrent neural networks, Neural Computation, Vol. 1, Issue 2, pp. 270-280, 1989.
http://dx.doi.org/10.1162/neco.1989.1.2.270

C. Chakraborty, D. Chakraborty, A theoretical development on a fuzzy distance measure for fuzzy numbers, Mathematical and Computer Modelling, Nr. 43, pp. 254-261, 2006.
http://dx.doi.org/10.1016/j.mcm.2005.09.025




DOI: https://doi.org/10.15837/ijccc.2011.1.2196

Bookmark and Share


Copyright (c) 2017 Dragos Arotaritei

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

CC-BY-NC  License for Website User

Articles published in IJCCC user license are protected by copyright.

Users can access, download, copy, translate the IJCCC articles for non-commercial purposes provided that users, but cannot redistribute, display or adapt:

  • Cite the article using an appropriate bibliographic citation: author(s), article title, journal, volume, issue, page numbers, year of publication, DOI, and the link to the definitive published version on IJCCC website;
  • Maintain the integrity of the IJCCC article;
  • Retain the copyright notices and links to these terms and conditions so it is clear to other users what can and what cannot be done with the  article;
  • Ensure that, for any content in the IJCCC article that is identified as belonging to a third party, any re-use complies with the copyright policies of that third party;
  • Any translations must prominently display the statement: "This is an unofficial translation of an article that appeared in IJCCC. Agora University  has not endorsed this translation."

This is a non commercial license where the use of published articles for commercial purposes is forbiden. 

Commercial purposes include: 

  • Copying or downloading IJCCC articles, or linking to such postings, for further redistribution, sale or licensing, for a fee;
  • Copying, downloading or posting by a site or service that incorporates advertising with such content;
  • The inclusion or incorporation of article content in other works or services (other than normal quotations with an appropriate citation) that is then available for sale or licensing, for a fee;
  • Use of IJCCC articles or article content (other than normal quotations with appropriate citation) by for-profit organizations for promotional purposes, whether for a fee or otherwise;
  • Use for the purposes of monetary reward by means of sale, resale, license, loan, transfer or other form of commercial exploitation;

    The licensor cannot revoke these freedoms as long as you follow the license terms.

[End of CC-BY-NC  License for Website User]


INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (IJCCC), With Emphasis on the Integration of Three Technologies (C & C & C),  ISSN 1841-9836.

IJCCC was founded in 2006,  at Agora University, by  Ioan DZITAC (Editor-in-Chief),  Florin Gheorghe FILIP (Editor-in-Chief), and  Misu-Jan MANOLESCU (Managing Editor).

Ethics: This journal is a member of, and subscribes to the principles of, the Committee on Publication Ethics (COPE).

Ioan  DZITAC (Editor-in-Chief) at COPE European Seminar, Bruxelles, 2015:

IJCCC is covered/indexed/abstracted in Science Citation Index Expanded (since vol.1(S),  2006); JCR2018: IF=1.585..

IJCCC is indexed in Scopus from 2008 (CiteScore2018 = 1.56):

Nomination by Elsevier for Journal Excellence Award Romania 2015 (SNIP2014 = 1.029): Elsevier/ Scopus

IJCCC was nominated by Elsevier for Journal Excellence Award - "Scopus Awards Romania 2015" (SNIP2014 = 1.029).

IJCCC is in Top 3 of 157 Romanian journals indexed by Scopus (in all fields) and No.1 in Computer Science field by Elsevier/ Scopus.

 

 Impact Factor in JCR2018 (Clarivate Analytics/SCI Expanded/ISI Web of Science): IF=1.585 (Q3). Scopus: CiteScore2018=1.56 (Q2);

SCImago Journal & Country Rank

Editors-in-Chief: Ioan DZITAC & Florin Gheorghe FILIP.