Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Fuzzy polynomial regression analysis using shape preserving operation

  • 59 Accesses

Abstract

In this paper, we describe a method for fuzzy polynomial regression analysis for fuzzy input-output data using shape preserving operations based on Tanaka’s approach. Shape preserving operations simplifies the computation of fuzzy arithmetic operations. We derive the solution using general linear program.

This is a preview of subscription content, log in to check access.

References

  1. 1.

    A. Kolesà rovà,Additive preserving the linearity of fuzzy intervals, Tatra Mountains Math. Publ.6(1995) 75–81.

  2. 2.

    C. H. Ling,Representation of associative functions, Publ. Math. Debrecen,12(1965) 189–212.

  3. 3.

    D. H. Hong,Shape preserving multiplication of fuzzy numbers, Fuzzy Sets and Systems,123(2001) 93–96.

  4. 4.

    D. H. Hong and H. Y. Do,Fuzzy system reliability analysis by the use of T W (the weakest t-norm) on fuzzy number arithmetic operations, Fuzzy Sets and Systems,90(1997) 307–316.

  5. 5.

    D. H. Hong, S. Lee, and H. Y. Do,Fuzzy linear regression analysis for fuzzy input-output data using shape preserving operations, Fuzzy Sets and Systems,122(2001) 157–170.

  6. 6.

    D. T. Redden and W. H. Woodall,Properties of certain fuzzy linear regression methods, Fuzzy Sets and Systems,64(1994) 361–375.

  7. 7.

    H. Tanaka, S. Uejima and K. Asai,Linear regression analysis with fuzzy model, IEEE Trans. Systems Man Cybernet.12(1982) 903–907.

  8. 8.

    R. Mesiar,Shape preserving additions of fuzzy intervals, Fuzzy Sets and Systems,86(1997) 73–78.

  9. 9.

    L. A. Zadeh,Fuzzy sets, Infor. Control,8(1965) 338–353.

Download references

Author information

Correspondence to Dug Hun Hong.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Hong, D.H., Do, H.Y. Fuzzy polynomial regression analysis using shape preserving operation. Korean J. Comput. & Appl. Math. 8, 645–656 (2001). https://doi.org/10.1007/BF02941993

Download citation

AMS Mathematics Subject Classification

  • 40A05
  • 60J02

Key words and phrases

  • Polynomial fuzzy regression
  • shape-preserving operations
  • membership function