A novel computational approach to approximate fuzzy interpolation polynomials

This paper build a structure of fuzzy neural network, which is well sufficient to gain a fuzzy interpolation polynomial of the form [Formula: see text] where [Formula: see text] is crisp number (for [Formula: see text] , which interpolates the fuzzy data [Formula: see text] . Thus, a gradient descen...

Descripción completa

Detalles Bibliográficos
Autores principales: Jafarian, Ahmad, Jafari, Raheleh, Mohamed Al Qurashi, Maysaa, Baleanu, Dumitru
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5002276/
https://www.ncbi.nlm.nih.gov/pubmed/27625982
http://dx.doi.org/10.1186/s40064-016-3077-5
_version_ 1782450543577268224
author Jafarian, Ahmad
Jafari, Raheleh
Mohamed Al Qurashi, Maysaa
Baleanu, Dumitru
author_facet Jafarian, Ahmad
Jafari, Raheleh
Mohamed Al Qurashi, Maysaa
Baleanu, Dumitru
author_sort Jafarian, Ahmad
collection PubMed
description This paper build a structure of fuzzy neural network, which is well sufficient to gain a fuzzy interpolation polynomial of the form [Formula: see text] where [Formula: see text] is crisp number (for [Formula: see text] , which interpolates the fuzzy data [Formula: see text] . Thus, a gradient descent algorithm is constructed to train the neural network in such a way that the unknown coefficients of fuzzy polynomial are estimated by the neural network. The numeral experimentations portray that the present interpolation methodology is reliable and efficient.
format Online
Article
Text
id pubmed-5002276
institution National Center for Biotechnology Information
language English
publishDate 2016
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-50022762016-09-13 A novel computational approach to approximate fuzzy interpolation polynomials Jafarian, Ahmad Jafari, Raheleh Mohamed Al Qurashi, Maysaa Baleanu, Dumitru Springerplus Research This paper build a structure of fuzzy neural network, which is well sufficient to gain a fuzzy interpolation polynomial of the form [Formula: see text] where [Formula: see text] is crisp number (for [Formula: see text] , which interpolates the fuzzy data [Formula: see text] . Thus, a gradient descent algorithm is constructed to train the neural network in such a way that the unknown coefficients of fuzzy polynomial are estimated by the neural network. The numeral experimentations portray that the present interpolation methodology is reliable and efficient. Springer International Publishing 2016-08-27 /pmc/articles/PMC5002276/ /pubmed/27625982 http://dx.doi.org/10.1186/s40064-016-3077-5 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Jafarian, Ahmad
Jafari, Raheleh
Mohamed Al Qurashi, Maysaa
Baleanu, Dumitru
A novel computational approach to approximate fuzzy interpolation polynomials
title A novel computational approach to approximate fuzzy interpolation polynomials
title_full A novel computational approach to approximate fuzzy interpolation polynomials
title_fullStr A novel computational approach to approximate fuzzy interpolation polynomials
title_full_unstemmed A novel computational approach to approximate fuzzy interpolation polynomials
title_short A novel computational approach to approximate fuzzy interpolation polynomials
title_sort novel computational approach to approximate fuzzy interpolation polynomials
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5002276/
https://www.ncbi.nlm.nih.gov/pubmed/27625982
http://dx.doi.org/10.1186/s40064-016-3077-5
work_keys_str_mv AT jafarianahmad anovelcomputationalapproachtoapproximatefuzzyinterpolationpolynomials
AT jafariraheleh anovelcomputationalapproachtoapproximatefuzzyinterpolationpolynomials
AT mohamedalqurashimaysaa anovelcomputationalapproachtoapproximatefuzzyinterpolationpolynomials
AT baleanudumitru anovelcomputationalapproachtoapproximatefuzzyinterpolationpolynomials
AT jafarianahmad novelcomputationalapproachtoapproximatefuzzyinterpolationpolynomials
AT jafariraheleh novelcomputationalapproachtoapproximatefuzzyinterpolationpolynomials
AT mohamedalqurashimaysaa novelcomputationalapproachtoapproximatefuzzyinterpolationpolynomials
AT baleanudumitru novelcomputationalapproachtoapproximatefuzzyinterpolationpolynomials

Ejemplares similares