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Soft Computing

Erschienen in:

01.08.2011 | Original Paper

Numerical solution of fully fuzzy linear systems by fuzzy neural network

verfasst von: M. Otadi, M. Mosleh, S. Abbasbandy

Erschienen in: Soft Computing | Ausgabe 8/2011

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Abstract

In this paper, a new hybrid method based on fuzzy neural network (FNN) for approximate solution of fuzzy linear systems of the form \(Ax=d,\) where \(A\) is a square matrix of fuzzy coefficients, \(x\) and \(d\) are fuzzy number vectors, is presented. Here a neural network is considered as a part of a large field called neural computing or soft computing. Moreover, in order to find the approximate solution of an \(n\times n\) system of fuzzy linear equations that supposedly has a unique fuzzy solution, a simple algorithm from the cost function of the FNN is proposed. Finally, we illustrate our approach by some numerical examples.

Vorheriger Artikel Automatic summarisation and annotation of microarray data

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Titel: Numerical solution of fully fuzzy linear systems by fuzzy neural network
verfasst von: M. Otadi
M. Mosleh
S. Abbasbandy
Publikationsdatum: 01.08.2011
Verlag: Springer-Verlag
Erschienen in: Soft Computing / Ausgabe 8/2011
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-010-0685-9

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