The paper deals with the higher degree fuzzy transforms (F-transforms with polynomial components) for functions of two variables in the case when two-dimensional generalized fuzzy partition is given by B-splines of two variables. We investigate properties of the direct and inverse F-transform in this case and prove that using B-splines as basic functions of fuzzy partition allows us to improve the quality of approximation.
CITATION STYLE
Kokainis, M., & Asmuss, S. (2016). Higher degree F-transforms based on B-splines of two variables. In Communications in Computer and Information Science (Vol. 610, pp. 648–659). Springer Verlag. https://doi.org/10.1007/978-3-319-40596-4_54
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