Asymptotic Consistency of Least Squares Estimators in Fuzzy Regression Model

  • Yoon, Jin-Hee (School of Economics, Yonsei University) ;
  • Kim, Hae-Kyung (Department of Mathematics, Yonsei University) ;
  • Choi, Seung-Hoe (School of Liberal Arts and Science, Korea Aerospace University, Korea Aerospace University)
  • Published : 2008.11.30


This paper deals with the properties of the fuzzy least squares estimators for fuzzy linear regression model. Especially fuzzy triangular input-output model including error term is proposed. The error term is considered as a fuzzy random variable. The asymptotic unbiasedness and the consistency of the estimators are proved using a suitable metric.


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