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An extension of F-transforms to more general data: potential applications

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Abstract

Fuzzy transforms (F-transforms) have shown to be a powerful technique to deal with several tasks of image processing and time series. However, F-transforms have an important handicap in order to be applied to data in a broader sense: They are by definition applicable only to functions. This paper presents an extension of the definition of F-transforms to a more general structure of data than functions. Moreover, we provide a theoretical study by showing how the fundamental properties of F-transforms are extended to this new approach. Finally, we include also a section to explore potential applications of this novel extension.

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Acknowledgements

This work was supported by the project “TIN15-70266-C2-P-1” from the Spanish government.

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Authors and Affiliations

  1. Universidad de Málaga, Edificio de Ingenierías, despacho 2.556L-C C/ Doctor Ortiz Ramos s/n. (Campus de Teatinos), CP: 29071, Málaga, Spain

    Nicolás Madrid

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  1. Nicolás Madrid
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Correspondence to Nicolás Madrid.

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The author declares that he has no conflict of interest.

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

Additional information

Communicated by F. Di Martino, V. Novák.

Partially supported by Project TIN15-70266-C2-P-1.

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Madrid, N. An extension of F-transforms to more general data: potential applications. Soft Comput 21, 3551–3565 (2017). https://doi.org/10.1007/s00500-017-2622-7

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  • DOI: https://doi.org/10.1007/s00500-017-2622-7

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