The paper shows how to use the multidimensional interval RDM arithmetic to solve an interval system of linear equations. The main problems that arise when solving this type of equations using the standard interval arithmetic are discussed and the most important flaws of this type of solutions are listed. Next, an example is shown to demonstrate how to correctly solve systems of interval equations by using multidimensional interval RDM arithmetic.

The paper discusses multidimensional fuzzy RDM-arithmetic and its application to solving linear fuzzy equation systems. Such arithmetic can also be used to test whether the found solution satisfies condition of nestedness and thus initially verify its correctness. The presented methods are illustrated with three examples coming from the literature.