General fuzzy regression using least squares method

  • Authors:
  • Seung Hoe Choi;Jin Hee Yoon

  • Affiliations:
  • Department of General Studies, Korea Aerospace University, Koyang 411, Republic of Korea;Department of Mathematics, Yonsei University, Seoul 120-749, Republic of Korea

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2010

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Abstract

This article introduces a general fuzzy regression model, which separates the response function on a mode and spreads of an α-level set for an observed fuzzy number, to estimate a fuzzy relation between two fuzzy random variables. We construct the general fuzzy regression model using least squares estimation and best response functions on the mode and spread of an α-level set for the fuzzy number when the response variable is an LR-fuzzy number and independent variables are crisp numbers. Then we derive a crisp mean and variance of the predicted fuzzy number, and compare the accuracy of our proposed fuzzy regression model with other fuzzy regression models suggested by many authors.