Jafarian, A and Jafari, R orcid.org/0000-0001-7298-2363 (2012) Approximate solutions of dual fuzzy polynomials by feed-back neural networks. Journal of Soft Computing and Applications, 2012 (1). jsca-00005. pp. 1-16. ISSN 2195-576X
Abstract
Recently, artificial neural networks (ANNs) have been extensively studied and used in different areas such as pattern recognition, associative memory, combinatorial optimization, etc. In this paper, we investigate the ability of fuzzy neural networks to approximate solution of a dual fuzzy polynomial of the form a1x+...+anx n = b1x+...+bnx n +d, where aj , bj , d ϵ E1 (for j = 1, ..., n). Since the operation of fuzzy neural networks is based on Zadeh’s extension principle. For this scope we train a fuzzified neural network by backpropagation-type learning algorithm which has five layer where connection weights arecrisp numbers. This neural network can get a crisp input signal and then calculates itscorresponding fuzzy output. Presented method can give a real approximate solution for given polynomial by using a cost function which is defined for the level sets of fuzzy output and target output. The simulation results are presented to demonstrate the efficiency and effectiveness of the proposed approach.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright 2012 © A. Jafarian and R. Jafari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Fuzzy feed-back neural networks; Dual fuzzy polynomials; Cost function; Learning algorithm |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Arts, Humanities and Cultures (Leeds) > School of Design (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Feb 2020 09:59 |
Last Modified: | 27 Feb 2020 09:59 |
Status: | Published |
Publisher: | International Scientific Publications and Consulting Services |
Identification Number: | 10.5899/2012/jsca-00005 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:156086 |