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

نویسندگان

A. B. Ramos-Guajardo Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

A. Blanco-Fernandez Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

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

G. Gonzalez-Rodrguez 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. Garca-Barzana 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

S. de la Rosa de Saa Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

چکیده مقاله:

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.