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Some Examples of Relations Between F-Transforms and Powerset Theories

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Fuzzy Information Processing (NAFIPS 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 831))

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Abstract

Six examples of powerset theories based on lattice-valued fuzzy sets are presented and relations between these powerset theories and F-transforms are investigated. It is proved that powerset extensions corresponding to these powerset theories are identical to, or restrictions of the F-transforms with respect to spaces with fuzzy partitions, consisting of objects of corresponding powerset theories.

This research was partially supported by the project 18-06915S provided by the Grant Agency of the Czech Republic.

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Authors and Affiliations

  1. Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 701 03, Ostrava 1, Czech Republic

    Jiří Močkoř

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  1. Jiří Močkoř
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Correspondence to Jiří Močkoř .

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Editors and Affiliations

  1. Department of Teleinformatics Engineering, Federal University of Ceará, Fortaleza, Ceará, Brazil

    Guilherme A. Barreto

  2. Department of Statistics & Applied Mathematics, Federal University of Ceará, Fortaleza, Ceará, Brazil

    Ricardo Coelho

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Močkoř, J. (2018). Some Examples of Relations Between F-Transforms and Powerset Theories. In: Barreto, G., Coelho, R. (eds) Fuzzy Information Processing. NAFIPS 2018. Communications in Computer and Information Science, vol 831. Springer, Cham. https://doi.org/10.1007/978-3-319-95312-0_7

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  • DOI: https://doi.org/10.1007/978-3-319-95312-0_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95311-3

  • Online ISBN: 978-3-319-95312-0

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