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On the fuzzy estimation of fuzzy parameters induced from original

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The simplicity of Wu's approach for estimating fuzzy parameters of fuzzy random variables [H.-C.Wu: The fuzzy estimators of fuzzy parameters based on fuzzy random variables, European Journal of operational Research 146 (2003)101-114] is considered for estimating the fuzzy parameter in the sense of Kruse and Meyer [R.Kruse and M.D.Meyer: Statistics with vague data, Reidel Publishing Company, 1987]. By showing that the two kinds of fuzzy parameters are equivalent to each other, we present a simple fuzzy estimation approach for fuzzy parameters.

Abstract

The simplicity of Wu's approach for estimating fuzzy parameters of fuzzy random variables [H.-C.Wu: The fuzzy estimators of fuzzy parameters based on fuzzy random variables, European Journal of operational Research 146 (2003)101-114] is considered for estimating the fuzzy parameter in the sense of Kruse and Meyer [R.Kruse and M.D.Meyer: Statistics with vague data, Reidel Publishing Company, 1987]. By showing that the two kinds of fuzzy parameters are equivalent to each other, we present a simple fuzzy estimation approach for fuzzy parameters.

참고문헌 (8)

  1. M.A.Gil, "Overview on the development of fuzzy random variables", Fuzzy Sets and Systems, 157, pp.2546~2557 (2006)
  2. P.Grzegorzewski, "Testing statistical hypotheses with vague data", Fuzzy Sets and Systems, 112, pp.501~510 (2000)
  3. R.Kruse, "Statistics with Vague Data" (1987), D. Reidel Publishing Company
  4. H. Kwakernaak, "Fuzzy random variables, Part-1: Definitions and theorems", Informatioin sciences, 15, pp.1~15 (1978)
  5. H. Kwakernaak, "Fuzzy random variables, Part-2: Algorithms and examples for the discrete case", Information Sciences, 17, pp.253~278 (1978)
  6. M. D. Puri, "Fuzzy Random Variables", Journal of Mathematical Analysis and Applications, 114, pp.409~422 (1986)
  7. D.Wang, "A note on consistency and unbiasedness of point estimation with fuzzy data", Metrika, 60, pp.93~104 (2004)
  8. H.-C. Wu, "The fuzzy estimators of fuzzy parameters based on fuzzy random variables", European Journal of Operational Research, 146, pp.101~114 (2003)

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