Solution and Interpretation of Neutrosophic Homogeneous Difference Equation

Abstract

<jats:p>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.</jats:p>

Selection of solar tracking system using extended TOPSIS technique with interval type-2 pythagorean fuzzy numbers

“…It has been become complex to state the linguistic terms exactly and accurately by using these terms. Consequently, the "fuzzy set" (FS) theory introduced by Zadeh (1965a) was supposed to be used for coping up with the problems involving subjective uncertainties Chakraborty et al (2018), Chakraborty et al (2019), Alamin et al (2020), [52]. Afterwards, "type-2 fuzzy sets" (T2FS) Mendel et al (2006), Mendel and John (2002), Mendel (2007), an extension of "type-1 fuzzy sets" (T1FS) were introduced since they can engage with more uncertainties than T1FSs.…”