A Model Describing the Neutrosophic Differential Equation and Its Application on Mine Safety

Abstract

In the theory of uncertainty and approximation neutrosophy plays a signiffcant role. Neutrosophy is tool emerged on standard or non-standard to measured the mathematical model of uncertainty, vagueness, ambiguity etc. In light of these major issues, the paper outlines of Neutrosophic Set, Single Valued Neutrosophic Set, Triangular Single Valued Neutrosophic Number and Trapezoidal Single Valued Neutrosophic Number. It also propose Neutrosophic Dierential Equation and shown its solution in dierent conditions. Thereafter min-ing safety model via Single Valued neutrosophic number be epitomized. At last a mathematical experiment is done to exhibit its reality and use fullness of this Number.