RANDOM FUZZY SETS: A MATHEMATICAL TOOL TO DEVELOP STATISTICAL FUZZY DATA ANALYSIS

Authors

  • A. Colubi Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain
  • B. Sinova Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain
  • M. A. Gil Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain
  • M. A. Lubiano Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain
  • M. Montenegro Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain
  • M. R. Casals Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain
  • M.T. Lopez Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain
  • N. Corral Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain
Abstract:

Data obtained in association with many real-life random experiments from different fields cannot be perfectly/exactly quantified.hspace{.1cm}Often the underlying imprecision can be suitably described in terms of fuzzy numbers/\values. For these random experiments, the scale of fuzzy numbers/values enables to capture more variability and subjectivity than that of categorical data, and more accuracy and expressiveness than that of numerical/vectorial data. On the other hand, random fuzzy numbers/sets model the random mechanisms generating experimental fuzzy data, and they are soundly formalized within the probabilistic setting.This paper aims to review a significant part of the recent literature concerning the statistical data analysis with fuzzy data and being developed around the concept of random fuzzy numbers/sets.

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volume 10  issue 2

pages  1- 28

publication date 2013-04-30

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