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A Generalization of a Characterization Theorem of Restricted Equivalence Functions

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Aggregation Functions in Theory and in Practise

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 228))

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Abstract

Fodor and Roubens’ equivalence functions (for short EF) are mapping normally used for making a comparison between images by means it can be used for measuring the similarity of images. So, having a suitable way to construct these functions is very important. In these sense, we present in this work a characterization theorem for restricted equivalence functions (a particular case of EF) using aggregation functions which is able to describe them from implications and vice-versa. We also present similar results for restricted dissimilarity functions and normal E e,N -functions.

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Author information

Authors and Affiliations

  1. Universidade Estadual de Santa Cruz, Ilhéus, Brazil

    Eduardo Palmeira

  2. Universidade Federal do Rio Grande do Norte, Natal, Brazil

    Benjamín Bedregal

  3. Universidad Publica de Navarra, Pamplona, Spain

    Humberto Bustince

Authors
  1. Eduardo Palmeira
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  2. Benjamín Bedregal
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  3. Humberto Bustince
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Corresponding author

Correspondence to Eduardo Palmeira .

Editor information

Editors and Affiliations

  1. Department of Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain

    Humberto Bustince

  2. Department of Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain

    Javier Fernandez

  3. Department of Mathematics and, Slovak University of Technology, Bratislava, Slovakia

    Radko Mesiar

  4. Department of Computer Science, Universidad de Alcalá de Henares, Madrid, Spain

    Tomasa Calvo

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Palmeira, E., Bedregal, B., Bustince, H. (2013). A Generalization of a Characterization Theorem of Restricted Equivalence Functions. In: Bustince, H., Fernandez, J., Mesiar, R., Calvo, T. (eds) Aggregation Functions in Theory and in Practise. Advances in Intelligent Systems and Computing, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39165-1_43

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  • DOI: https://doi.org/10.1007/978-3-642-39165-1_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39164-4

  • Online ISBN: 978-3-642-39165-1

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