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 language | English |
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Pages (from-to) | 85-99 |
Number of pages | 15 |
Journal | Studies in Fuzziness and Soft Computing |
Volume | 343 |
DOIs | |
Publication status | Published - 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