Discrete multivariate F-transform of higher degree

In this paper, we reformulate the multivariate fuzzy transform (F^m-transform) of higher degree proposed originally for an approximation of continuous functions to the discrete case. We introduce the F^m-transform components as multivariate polynomials using the matrix algebra, the inverse F^m-transform is established to obtain a continuous function. We provide an analysis of basic properties of F^m-transform.