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A New Axiomatic Approach to Interval-Valued Entropy

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Fuzzy Techniques: Theory and Applications (IFSA/NAFIPS 2019 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1000))

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Abstract

In this work we propose a new definition of interval-valued entropy taking into account the width of the considered membership intervals. We build these new entropies by aggregating normal \(E_N\) functions.

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Acknowledgments

This work has been suported by research project TIN2016-77356-P (AEI/UE,FEDER) of the Spanish Government and by Project VEGA 1/0614/18.

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Authors and Affiliations

  1. Departamento de Estadistica, Informatica y Matematicas, Universidad Publica de Navarra, 31006, Pamplona, Spain

    Humberto Bustince, Javier Fernandez, Iosu Rodriguez, Borja de la Osa, Cédric Marco-Detchart & Jose Antonio Sanz Delgado

  2. Institute of Information Engineering, Automation and Mathematics, The Slovak University of Technology, Bratislava, Slovakia

    Zdenko Takáč

Authors
  1. Humberto Bustince
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  2. Javier Fernandez
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  3. Iosu Rodriguez
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  4. Borja de la Osa
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  5. Cédric Marco-Detchart
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  6. Jose Antonio Sanz Delgado
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  7. Zdenko Takáč
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Corresponding author

Correspondence to Humberto Bustince .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA

    Ralph Baker Kearfott

  2. Center for Computing Research (CIC), Instituto Politecnico Nacional, Ciudad de Mexico, Mexico

    Ildar Batyrshin

  3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada

    Marek Reformat

  4. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Martine Ceberio

  5. Department of Computer Science, University of Texas at El Paso , El Paso, TX, USA

    Vladik Kreinovich

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Bustince, H. et al. (2019). A New Axiomatic Approach to Interval-Valued Entropy. In: Kearfott, R., Batyrshin, I., Reformat, M., Ceberio, M., Kreinovich, V. (eds) Fuzzy Techniques: Theory and Applications. IFSA/NAFIPS 2019 2019. Advances in Intelligent Systems and Computing, vol 1000. Springer, Cham. https://doi.org/10.1007/978-3-030-21920-8_1

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