Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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A Random Fuzzy Linear Regression Model

  • Published : 1998.08.01
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Abstract

A random fuzzy linear regression model is introduced, which includes both randomness and fuzziness. Estimators for the parameters are suggested, which are derived mainly using properties of randomness.

Keywords

References

  1. Fuzzy Sets ans Systems v.37 Bardossy, A.
  2. Fuzzy Regression Analysis Least Squares and maximum likelihood regression for fuzzy linear models Diamond, P.
  3. Applied Linear Statistical Models(4th ed.) Kutner, M. H.;Nachtschiem, C. J.;W. Wasserman
  4. Information Sciences v.15 Fuzzy random variable: Definition and theorems Kwakernaak, H.
  5. Statistics v.21 no.4 Linear regression with random fuzzy observations Nather, W.;Albrecht, M.
  6. Journal of Mathematical Analysis and Applications v.114 Fuzzy random variables Puri, M. L.;Ralescu, D. A.
  7. Fuzzy Sets and Systems v.64 Properties of certain fuzzy linear regression methods Redden, D.;Woodall, W. H.
  8. Fuzzy Sets and Systems v.23 Evaluation of fuzzy linear regression models Savic, D. A.;Pedrycz, W.
  9. Fuzzy Sets and Systems v.24 Fuzzy data analysis by possibilistic linear models Tanaka, H.
  10. IEEE Transactions on System Management Cybern v.SMC-12 Linear regression analysis with fuzzy model Tanaka, H.;Uejima, S.;Asai, K.
  11. Fuzzy Sets and Systems v.27 Possibilistic linear system and their application to linear regression model Tanaka, H.;Watada, J.
  12. Information Sciences v.72 On fuzzy random sets and their mathematical expectations Zhang, D.;Ouyang, H.;Lee, E. S.;Yager, R. R.