Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
권호 표지

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
Download PDF
⟨ Previous Next ⟩

Abstract

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.

Keywords

References

  1. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems v.7 no.2 Multivariate non-linear fuzzy regression an evolutioanry algorithm approach Buckley, J.;Feuring, T.;Hayashi, Y.
  2. Information Sciences v.46 Fuzzy least squares Diamond, P.
  3. Fuzzy sets and systems v.41 On generalization of Nguyem's theorem Fuller, R.;Koresztfalvi, T.
  4. Fuzzy Sets and Systems v.123 Shape preserving multiplication of fuzzy numbers Hong, D. H.
  5. Fuzzy Sets and Systems v.90 Fuzzy system reliability analysis by the use of $T_w$(the weakest t-norm) on fuzzy number arithmetic operations Hong, D. H.;Do, H. Y.
  6. Korean Journal of Computational and Applications Mathematics v.8 Fuzzy polynomial regression analysis using shape preserving operation Hong, D. H.;Do, H. Y.
  7. Fuzzy Sets and Systems v.122 Fuzzy linear regression analysis for fuzzy input-output data using shape-preserving operations Hong, D. H.;Lee, S.;Do, H. Y.
  8. Information Sciences v.138 Fuzzy least-squares linear regression analysis using shape preserving operations Hong, D. H.;Song, J. K.;Do, H. Y.
  9. Fuzzy Regression Analysis Kacprzyk, J.;Fedrizzi, M.
  10. Tetra Mountains Mathematical Publications v.6 Additive preserving the linearity of fuzzy intervals Kolesarova, A.
  11. Publ. Math. Debrecen v.12 Representation of associative functions Ling, C. H.
  12. Fuzzy Sets and Systems v.86 Shape preserving additions of fuzzy intervals Mesiar, R.
  13. IEEE Transactions Systems Man Cybernet Linear regression analysis with fuzzy model Tanaka, H.;Uejima, S.;Asai, K.
  14. General theory of functions and integration Taylor, A. E.
  15. Information Control v.8 Fuzzy sets Zadeh, L. A.