Solving Fuzzy Linear Regression with Hybrid Optimization

  • Authors:
  • M. H. Mashinchi;M. A. Orgun;M. Mashinchi

  • Affiliations:
  • Department of Computing, Macquarie University, Sydney, Australia 2109;Department of Computing, Macquarie University, Sydney, Australia 2109;Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Iran

  • Venue:
  • ICONIP '09 Proceedings of the 16th International Conference on Neural Information Processing: Part II
  • Year:
  • 2009

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Abstract

Fuzzy linear regression is an important tool to find the linear inexact relationship between uncertain data. We then propose a hybrid optimization method based on tabu search and harmony search as a potential way of solving fuzzy linear regression. The proposed method aims at finding a model without considering any mathematical constraints while reducing the error of the regression's model in comparison to other methods. The experimental comparison of the results for two classes of crisp input-fuzzy output and fuzzy input-fuzzy output data sets shows the superiority of the method over the existing ones.