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Globally Monotone Extended Aggregation Functions

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Enric Trillas: A Passion for Fuzzy Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 322))

Abstract

In this paper a condition of global monotonicity for the class of extended aggregation functions is presented. From the study of some remarkable families of those aggregation functions and of several properties considered in the literature as indicators of consistency, it seems reasonable that the global monotonicity can be taken as a minimum requirement for an extended aggregation function to be considered consistent.

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Acknowledgments

The authors have written this contribution in tribute to Prof. Enric Trillas in recognition of his important and extensive research in the field of fuzzy logic. This paper has been partially supported by the Spanish Grant TIN2013-42795-P and TIN2012-32482.

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Authors and Affiliations

  1. University of Alcalá, Alcalá de Henares, Spain

    Tomasa Calvo

  2. University of Balearic Islands, Palma de Mallorca, Spain

    Gaspar Mayor & Jaume Suñer

Authors
  1. Tomasa Calvo
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  2. Gaspar Mayor
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  3. Jaume Suñer
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Corresponding author

Correspondence to Gaspar Mayor .

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Editors and Affiliations

  1. European Centre for Soft Computing, Asturias, Spain

    Luis Magdalena

  2. Depto. de Ciencias de la Computación e Inteligencia Artificial, University of Granada, Granada, Spain

    Jose Luis Verdegay

  3. Spanish Council for Scientific Research (CSIC), Artificial Intelligence Research Institute (IIIA-CSIC), Catalonia, Spain

    Francesc Esteva

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Calvo, T., Mayor, G., Suñer, J. (2015). Globally Monotone Extended Aggregation Functions. In: Magdalena, L., Verdegay, J., Esteva, F. (eds) Enric Trillas: A Passion for Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 322. Springer, Cham. https://doi.org/10.1007/978-3-319-16235-5_5

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  • DOI: https://doi.org/10.1007/978-3-319-16235-5_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16234-8

  • Online ISBN: 978-3-319-16235-5

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