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A Method for Constructing V. Young’s Fuzzy Subsethood Measures and Fuzzy Entropies

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Book cover Intelligent Techniques and Tools for Novel System Architectures

Part of the book series: Studies in Computational Intelligence ((SCI,volume 109))

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Summary

In the first part of the chapter we show the three most important axiomatizations of the concept of subsethood measure. Then we present the reasons why we focus on the definition given by V. Young. Next we study a method for constructing said measures and we analyze the conditions in which they satisfy the axioms of Sinha and Dougherty. Afterwards we study the way of obtaining fuzzy entropies that fulfill the valuation property from said subsethood measures.

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Authors and Affiliations

  1. Departamento de Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, s/n, 31006, Pamplona, Spain

    H. Bustince, E. Barrenechea & M. Pagola

Authors
  1. H. Bustince
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  2. E. Barrenechea
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  3. M. Pagola
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Editor information

Editors and Affiliations

  1. Harrow School of Computer Science, The University of Westminster, Watford Road Northwick Park, London, HA1 3TP, UK

    Panagiotis Chountas

  2. School of Informatics, The University of Manchester, Oxford Road, Manchester, M13 9PL, UK

    Ilias Petrounias

  3. Systems Research Institute, Polish Academy of Sciences, Ul. Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

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Bustince, H., Barrenechea, E., Pagola, M. (2008). A Method for Constructing V. Young’s Fuzzy Subsethood Measures and Fuzzy Entropies. In: Chountas, P., Petrounias, I., Kacprzyk, J. (eds) Intelligent Techniques and Tools for Novel System Architectures. Studies in Computational Intelligence, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77623-9_7

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  • DOI: https://doi.org/10.1007/978-3-540-77623-9_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77621-5

  • Online ISBN: 978-3-540-77623-9

  • eBook Packages: EngineeringEngineering (R0)

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