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

نویسندگان
Colubi, A. ID 1
Corral, N. ID 2
Garca-Barzana, M. ID 3
Lopez, M.T. ID 4
Montenegro, M. ID 5
Ramos-Guajardo, A. B. ID 6
Sinova, B. ID 7
Blanco-Fernandez, A. ID 8
Casals, M. R. ID 9
Gil, M. A. ID 10
Gonzalez-Rodrguez, G. ID 11
Lubiano, M. A. ID 12
De La Rosa De Saa, S. ID 13

1 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

2 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

3 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

4 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

5 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

6 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

7 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

8 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

9 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

10 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

11 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

12 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

13 Departamento de Estadstica e I.O. y D.M., Universidad de Oviedo, Spain

doi
10.22111/ijfs.2013.609
چکیده

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.

کلیدواژه‌ها
Distances between fuzzy numbers/values, Fuzzy numbers/values, Fuzzy arithmetic, Random fuzzy numbers/sets, Statistical methodology