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Equivalence Relations on Fuzzy Subgroups

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Advances in Artificial Intelligence (CAEPIA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11160))

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Abstract

We compare four equivalence relations defined in fuzzy subgroups: Isomorphism, fuzzy isomorphism and two equivalence relations defined using level subset notion. We study if the image of two equivalent fuzzy subgroups through aggregation functions is a fuzzy subgroup, when it belongs to the same class of equivalence and if the supreme property is preserved in the class of equivalence and through aggregation functions.

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Acknowledgement

The authors acknowledge the financial support of the Spanish Ministerio de Economía y Competitividad (Grant TIN2014-59543-P and Grant MTM 2016-79422-P). Carlos Bejines also thanks the support of the Asociación de Amigos of the University of Navarra.

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Authors and Affiliations

  1. Universidad de Navarra, C/Irunlarrea, 1, 31008, Pamplona, Spain

    Carlos Bejines, María Jesús Chasco & Jorge Elorza

  2. Universidad de Oviedo, C/San Francisco, 1, 33003, Oviedo, Spain

    Susana Montes

Authors
  1. Carlos Bejines
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  2. María Jesús Chasco
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  3. Jorge Elorza
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  4. Susana Montes
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Corresponding author

Correspondence to Carlos Bejines .

Editor information

Editors and Affiliations

  1. Andalusian Research Institute on Data Science and Computational Intelligence (DaSCI), University of Granada, Granada, Spain

    Francisco Herrera

  2. Andalusian Research Institute on Data Science and Computational Intelligence (DaSCI), University of Granada, Granada, Spain

    Sergio Damas

  3. Andalusian Research Institute on Data Science and Computational Intelligence (DaSCI), University of Granada, Granada, Spain

    Rosana Montes

  4. Andalusian Research Institute on Data Science and Computational Intelligence (DaSCI), University of Granada, Granada, Spain

    Sergio Alonso

  5. Andalusian Research Institute on Data Science and Computational Intelligence (DaSCI), University of Granada, Granada, Spain

    Óscar Cordón

  6. Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain

    Antonio González

  7. School of Engineering, Pablo de Olavide University, Seville, Spain

    Alicia Troncoso

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Bejines, C., Chasco, M.J., Elorza, J., Montes, S. (2018). Equivalence Relations on Fuzzy Subgroups. In: Herrera, F., et al. Advances in Artificial Intelligence. CAEPIA 2018. Lecture Notes in Computer Science(), vol 11160. Springer, Cham. https://doi.org/10.1007/978-3-030-00374-6_14

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  • DOI: https://doi.org/10.1007/978-3-030-00374-6_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00373-9

  • Online ISBN: 978-3-030-00374-6

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