Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Equivalence in Alpha-Level Linear Regression

  • Received : 20100300
  • Accepted : 20100500
  • Published : 2010.07.31
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Abstract

Several methods were suggested for constructing a fuzzy relationship between fuzzy independent and dependent variables. This paper reviews the use of the method by minimizing the square of the difference between an observed and a predicted fuzzy number in an ${\alpha}$-level linear regression model. We introduce a new distance between fuzzy numbers on the basis of a mode, a core point and a radius of an ${\alpha}$-level set of a fuzzy number an construct the fuzzy regression model using the proposed fuzzy distance. We also investigate sufficient condition for an equivalence in the ${\alpha}$-level regression model.

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References

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