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Obtaining Multi-argument Fuzzy Measures on Lattices

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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

Measures have been used to establish the degree in which a property holds. When this property is applied on a undetermined number of elements, multi-argument measures should be considered. More, if the values are in [0,1], we finally have to handle multi-argument fuzzy measures. This paper is devoted to obtain new multi-argument fuzzy measures on bounded lattices, using aggregation functions in two different ways. Developing the proposed methods, several functions measuring some properties with specified conditions are obtained.

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Author information

Authors and Affiliations

  1. Polytechnical University of Madrid, Madrid, Spain

    S. Cubillo & E. E. Castiñeira

  2. University of Alcalá de Henares, Madrid, Spain

    T. Calvo

Authors
  1. S. Cubillo
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  2. T. Calvo
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  3. E. E. Castiñeira
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Corresponding author

Correspondence to S. Cubillo .

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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Cubillo, S., Calvo, T., Castiñeira, E.E. (2013). Obtaining Multi-argument Fuzzy Measures on Lattices. 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_50

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  • DOI: https://doi.org/10.1007/978-3-642-39165-1_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39164-4

  • Online ISBN: 978-3-642-39165-1

  • eBook Packages: EngineeringEngineering (R0)

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