Fuzzy dispersion measures

İremuçal Sarı, Cengiz Kahraman*, Özgür Kabak

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)85-99
Number of pages15
JournalStudies in Fuzziness and Soft Computing
Volume343
DOIs
Publication statusPublished - 2016

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2016.

Keywords

  • Absolute deviation
  • Coefficient of variation
  • Dispersion measures
  • Fuzzy sets
  • Quartiles
  • Range
  • Standard deviation
  • Variance

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