The Neutrosophic Time Series-Study Its Models (Linear-Logarithmic) and test the Coefficients Significance of Its linear model

Abstract

In this paper, we present the Neutrosophic time series by studying the classical time series within the framework of the Neutrosophic logic. (Logic established by the American philosopher and mathematician Florentin Smarandache presented it as a generalization of fuzzy logic, especially intuitionistic fuzzy logic).As an extension of this, A.A. Salama presented the theory of Neutrosophic crisp sets as a generalization of crisp sets theory.This study enables us to deal with all the time series values whether it is specified or not specified, we present the linear model for the Neutrosophic time series, and we test the significant of its coefficient based on Student's distribution. We present an example in which we pave the Neutrosophic time series according to the linear model, test the significant of its coefficient, and show how to deal with the unspecified values of the time series. Then we present the logarithmic model of the Neutrosophic time series. We conclude that the existence of indeterminacy in the matter we cannot ignored because it actually affects the estimated values of the time series and thus affects the prediction of the future of the series.