Fuzzy analytical solution to horizontal infiltration

Abstract

In this article, we examine the solution to the fuzzy linear absorption equation, which represents the water movement in a horizontal column and describes the wetting up of the column under tension. The parameters of this problem are subject to different kinds of uncertainty due to human and machine imprecision. For that reason fuzzy set theory was used for facing imprecision or vagueness. As the problem concerns fuzzy differential equations, the Generalised Hukuhara (gH) derivative was used for total derivatives, as well as the extension of this theory for partial derivatives.