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Fuzzy polynomial regression analysis using shape preserving operation

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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.

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  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.

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Correspondence to Dug Hun Hong.

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

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AMS Mathematics Subject Classification

  • 40A05
  • 60J02

Key words and phrases

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