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On the Visualization of Discrete Non-additive Measures

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Aggregation Functions in Theory and in Practice (AGOP 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 581))

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Abstract

Non-additive measures generalize additive measures, and have been utilized in several applications. They are used to represent different types of uncertainty and also to represent importance in data aggregation. As non-additive measures are set functions, the number of values to be considered grows exponentially. This makes difficult their definition but also their interpretation and understanding. In order to support understability, this paper explores the topic of visualizing discrete non-additive measures using node-link diagram representations.

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Acknowledgements

This research has been conducted within BIDAF 2014/32 and NOVA 20140294 projects, supported by the Swedish Knowledge Foundation.

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Authors and Affiliations

  1. School of Informatics, University of Skövde, Skövde, Sweden

    Juhee Bae, Elio Ventocilla, Maria Riveiro & Vicenç Torra

Authors
  1. Juhee Bae
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  2. Elio Ventocilla
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  3. Maria Riveiro
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  4. Vicenç Torra
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Corresponding author

Correspondence to Vicenç Torra .

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Editors and Affiliations

  1. School of Informatics, University of Skövde, Skövde, Sweden

    Vicenç Torra

  2. Department of Mathematics and Descriptive Geometry, Slovak University of Technology, Bratislava, Slovakia

    Radko Mesiar

  3. KERMIT Research Unit Knowledge-based Systems, Ghent University, Ghent, Belgium

    Bernard De Baets

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Bae, J., Ventocilla, E., Riveiro, M., Torra, V. (2018). On the Visualization of Discrete Non-additive Measures. In: Torra, V., Mesiar, R., Baets, B. (eds) Aggregation Functions in Theory and in Practice. AGOP 2017. Advances in Intelligent Systems and Computing, vol 581. Springer, Cham. https://doi.org/10.1007/978-3-319-59306-7_21

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  • DOI: https://doi.org/10.1007/978-3-319-59306-7_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59305-0

  • Online ISBN: 978-3-319-59306-7

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