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Fuzzy Dispersion Measures

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Fuzzy Statistical Decision-Making

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 343))

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Abstract

Dispersion measures are very useful tools to measure the variability of data. Under uncertainty, the fuzzy set theory can be used to capture the vagueness in the data. This chapter develops the fuzzy versions of classical dispersion measures namely, standard deviation and variance, mean absolute deviation, coefficient of variation, range, and quartiles. Initially, we summarize the classical dispersion measures and then we develop their fuzzy versions for triangular fuzzy data. A numerical example for each fuzzy dispersion measure is given.

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Author information

Authors and Affiliations

  1. Industrial Engineering Department, Management Faculty, Istanbul Technical University, Istanbul, Turkey

    İrem Uçal Sarı, Cengiz Kahraman & Özgür Kabak

Authors
  1. İrem Uçal Sarı
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  2. Cengiz Kahraman
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  3. Özgür Kabak
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Corresponding author

Correspondence to Cengiz Kahraman .

Editor information

Editors and Affiliations

  1. Management Faculty, Industrial Engineering Department, Istanbul Technical University, Istanbul, Turkey

    Cengiz Kahraman

  2. Management Facult, Industrial Engineering Department, Istanbul Technical University, Istanbul, Turkey

    Özgür Kabak

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Sarı, İ.U., Kahraman, C., Kabak, Ö. (2016). Fuzzy Dispersion Measures. In: Kahraman, C., Kabak, Ö. (eds) Fuzzy Statistical Decision-Making. Studies in Fuzziness and Soft Computing, vol 343. Springer, Cham. https://doi.org/10.1007/978-3-319-39014-7_6

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  • DOI: https://doi.org/10.1007/978-3-319-39014-7_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39012-3

  • Online ISBN: 978-3-319-39014-7

  • eBook Packages: EngineeringEngineering (R0)

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