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On the Problem of Comparing Ordered Ordinary Fuzzy Multisets

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Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations (IPMU 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 854))

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Abstract

In this work we deal with a particular type of hesitant fuzzy set, in the case where membership values can appear multiple times and are ordered. They are called ordered ordinary fuzzy multisets. Some operations between them are introduced by means of an extension principle. In particular, the divergence measures between two of these multisets are defined and we have studied in detail the local family of divergences. Finally, these measures are related to the ones given for ordinary fuzzy sets.

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Acknowledgment

Authors acknowledge financial support by the Spanish Ministry under Projects TIN2014-59543-P and TIN2017-87600-P.

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Authors and Affiliations

  1. UNIMODE Research Unit, University of Oviedo, Oviedo, Spain

    Ángel Riesgo, Pedro Alonso, Irene Díaz & Susana Montes

  2. Matej Bel University, Banská Bystrica, Slovakia

    Vladimír Janiš & Vladimír Kobza

Authors
  1. Ángel Riesgo
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  2. Pedro Alonso
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  3. Irene Díaz
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  4. Vladimír Janiš
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  5. Vladimír Kobza
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  6. Susana Montes
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Corresponding author

Correspondence to Susana Montes .

Editor information

Editors and Affiliations

  1. Universidad de Cádiz, Cádiz, Cadiz, Spain

    Jesús Medina

  2. Universidad de Málaga, Málaga, Málaga, Spain

    Manuel Ojeda-Aciego

  3. Universidad de Granada, Granada, Spain

    José Luis Verdegay

  4. Universidad de Granada, Granada, Spain

    David A. Pelta

  5. Universidad de Málaga, Málaga, Málaga, Spain

    Inma P. Cabrera

  6. LIP6, Université Pierre et Marie Curie, CNRS, Paris, France

    Bernadette Bouchon-Meunier

  7. Iona College, New Rochelle, New York, USA

    Ronald R. Yager

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Riesgo, Á., Alonso, P., Díaz, I., Janiš, V., Kobza, V., Montes, S. (2018). On the Problem of Comparing Ordered Ordinary Fuzzy Multisets. In: Medina, J., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science, vol 854. Springer, Cham. https://doi.org/10.1007/978-3-319-91476-3_29

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  • DOI: https://doi.org/10.1007/978-3-319-91476-3_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91475-6

  • Online ISBN: 978-3-319-91476-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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