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Open AccessArticle

Solution and Interpretation of NeutrosophicHomogeneous Difference Equation

1
Department of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata 741249, Nadia, West Bengal, India
2
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, West Bengal, India
3
Institute of Industry Revolution 4.0, The National University of Malaysia, Bangi 43600, Selangor, Malaysia
4
Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
5
Center for Dynamics, Department of Mathematics, Technische Universität Dresden, 01062 Dresden, Germany
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(7), 1091; https://doi.org/10.3390/sym12071091
Received: 23 May 2020 / Revised: 17 June 2020 / Accepted: 19 June 2020 / Published: 1 July 2020
In this manuscript, we focus on the brief study of finding the solution to and analyzingthe homogeneous linear difference equation in a neutrosophic environment, i.e., we interpreted the solution of the homogeneous difference equation with initial information, coefficient and both as a neutrosophic number. The idea for solving and analyzing the above using the characterization theorem is demonstrated. The whole theoretical work is followed by numerical examples and an application in actuarial science, which shows the great impact of neutrosophic set theory in mathematical modeling in a discrete system for better understanding the behavior of the system in an elegant manner. It is worthy to mention that symmetry measure of the systems is employed here,which shows important results in neutrosophic arena application in a discrete system.
Keywords: fuzzy set theory; difference equation; neutrosophic number; simplified neutrosophic symmetry measure fuzzy set theory; difference equation; neutrosophic number; simplified neutrosophic symmetry measure
MDPI and ACS Style

Alamin, A.; Mondal, S.P.; Alam, S.; Ahmadian, A.; Salahshour, S.; Salimi, M. Solution and Interpretation of NeutrosophicHomogeneous Difference Equation. Symmetry 2020, 12, 1091.

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