Random Fuzzy Sets: a Mathematical Tool to Develop Statistical Fuzzy Data Analysis

نویسندگان

  • A. BLANCO - FERNÁNDEZ
  • M. R. CASALS
  • A. COLUBI
  • N. CORRAL
  • M. GARCÍA - BÁRZANA
  • M. A. GIL
  • G. GONZÁLEZ - RODRÍGUEZ
  • M. T. LÓPEZ
  • M. A. LUBIANO
  • M. MONTENEGRO
  • A. B. RAMOS - GUAJARDO
  • S. DE LA ROSA DE SÁA
  • B. SINOVA
چکیده

Data obtained in association with many real-life random experiments from different fields cannot be perfectly/exactly quantified. 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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تاریخ انتشار 2013