AccScience Publishing / IJOCTA / Volume 4 / Issue 2 / DOI: 10.11121/ijocta.01.2014.00183
OPTIMIZATION & APPLICATIONS

A new method to find fuzzy nth order derivation and applications to fuzzy nth order arithmetic based on generalized h-derivation

Tofigh Allahviranloo1 Laleh Hooshangian1
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1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
IJOCTA 2014, 4(2), 105–121; https://doi.org/10.11121/ijocta.01.2014.00183
Submitted: 27 November 2013 | Published: 30 June 2014
© 2014 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract

Email: , In this paper, fuzzy nth-order derivative for n ∈ N is introduced. To do this, nth-order derivation under generalized Hukuhara derivative here in discussed. Calculations on the fuzzy nthorder derivative on fuzzy functions and their relationships, in general, are introduced. Then, the fuzzy nth-order differential equations is solved, for n ∈ N.

Keywords
General nth-order derivative;fuzzy nth-order differential equations;H-derivative;Hdifference.
Conflict of interest
The authors declare they have no competing interests.
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