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Higher Degree F-transforms Based on B-splines of Two Variables

  • Martins KokainisEmail author
  • Svetlana Asmuss
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 610)

Abstract

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.

Keywords

F-transform Two-dimensional fuzzy partition Approximation error B-splines 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of LatviaRigaLatvia
  2. 2.Institute of Mathematics and Computer ScienceUniversity of LatviaRigaLatvia

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