Multi-variate Fuzzy Polynomial Regression using Shape Preserving Operations

  • Hong, Dug-Hun (School of Mechanical and Automotive Engineering, Catholic University of Daegu) ;
  • Do, Hae-Young (Department of Statistics, Kyungpook National University)
  • Published : 2003.02.28


In this paper, we prove that multi-variate fuzzy polynomials are universal approximators for multi-variate fuzzy functions which are the extension principle of continuous real-valued function under $T_W-based$ fuzzy arithmetic operations for a distance measure that Buckley et al.(1999) used. We also consider a class of fuzzy polynomial regression model. A mixed non-linear programming approach is used to derive the satisfying solution.



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