A novel computational approach to approximate fuzzy interpolation polynomials.

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Department of Mathematics, Faculty of Art and Sciences, Cankaya University, 06530 Balgat, Ankara, Turkey ; Institute of Space Sciences, Magurele-Bucharest, Romania.

Published: September 2016

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.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5002276PMC
http://dx.doi.org/10.1186/s40064-016-3077-5DOI Listing

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