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A Note on the Centroid, Yager Index and Sample Mean for Fuzzy Numbers

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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

This paper compares three well known defuzzifications methods with the sample mean for fuzzy numbers, namely: Yager index, centroid and possibilistic mean. Fuzzy random variable generation was performed to carry out the comparison over the necessity of statistical independence. Our experimental evidence suggests the four approaches exhibits interesting differences among them.

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Author information

Authors and Affiliations

  1. Universidad Distrital Francisco José de Caldas, Bogotá, Colombia

    Juan Carlos Figueroa-García

  2. Engineering Department, Universidad Distrital Francisco José de Caldas, Bogotá, Colombia

    Jairo Soriano-Mendez & Miguel Alberto Melgarejo-Rey

Authors
  1. Juan Carlos Figueroa-García
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  2. Jairo Soriano-Mendez
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  3. Miguel Alberto Melgarejo-Rey
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Corresponding author

Correspondence to Juan Carlos Figueroa-García .

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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Figueroa-García, J.C., Soriano-Mendez, J., Melgarejo-Rey, M.A. (2019). A Note on the Centroid, Yager Index and Sample Mean for Fuzzy Numbers. 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_9

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