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Continuous and discrete higher-degree F-transforms based on B-splines

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Abstract

The paper deals with the continuous and discrete higher-degree fuzzy transforms (F-transforms with polynomial components) with respect to a generalized fuzzy partition given by B-splines. We investigate properties of the direct and inverse F-transforms in these cases and prove that using B-splines allows us to improve the quality of approximation of smooth functions.

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Authors and Affiliations

  1. Department of Mathematics, University of Latvia, Zellu 25, Riga, 1002, Latvia

    Martins Kokainis & Svetlana Asmuss

  2. Institute of Mathematics and Computer Science, University of Latvia, Raina bulvaris 29, Riga, 1459, Latvia

    Svetlana Asmuss

Authors
  1. Martins Kokainis
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  2. Svetlana Asmuss
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Correspondence to Martins Kokainis.

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The authors declare that they have no conflict of interest.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by F. Di Martino, V. Novák.

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Kokainis, M., Asmuss, S. Continuous and discrete higher-degree F-transforms based on B-splines. Soft Comput 21, 3615–3639 (2017). https://doi.org/10.1007/s00500-017-2655-y

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  • DOI: https://doi.org/10.1007/s00500-017-2655-y

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