The paper deals with the integral and discrete versions of the direct and inverse higher degree fuzzy transforms (F-transforms) of multivariate functions. The aim is to generalize to the multidimensional… Click to show full abstract
The paper deals with the integral and discrete versions of the direct and inverse higher degree fuzzy transforms (F-transforms) of multivariate functions. The aim is to generalize to the multidimensional case the results known for the univariate F-transforms with respect to a generalized fuzzy partition given by B-splines. We prove that using multivariate B-splines as the generating functions of multidimensional fuzzy partition allows to improve the quality of approximation of multivariate functions and their derivatives.
               
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