Latent structureFuzzy Statistics

Fuzzy ANOVA

Fuzzy ANOVA extends classical analysis of variance to fuzzy data where observations and group memberships are imprecise or uncertain. Developed by Viertl and others, Fuzzy ANOVA tests whether fuzzy-valued groups differ significantly while accounting for inherent measurement uncertainty.

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Sources

  1. Viertl, R. (2011). Statistical Methods for Fuzzy Data. Wiley. ISBN: 9780470664802
  2. Ferrari, G., Ayyalasomayajula, R., & Fabbri, R. (2018). Fuzzy ANOVA: A comparison of quantile-based, and fuzzy-ratio approaches. SORT: Statistics and Operations Research Transactions, 42(1), 93-120. link
  3. Parchami, A., Noori, H., & Mashinchi, M. (2013). Fuzzy confidence intervals for mean of fuzzy random variables. Expert Systems with Applications, 40(18), 7154-7161. DOI: 10.1016/j.eswa.2013.07.005

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Referenced by

ScholarGateFuzzy ANOVA (Fuzzy Set Analysis of Variance). Retrieved 2026-06-04 from https://scholargate.app/en/psychometrics/fuzzy-anova