Re: Fuzzy Regression

From: Kuentai Chen (kchen@taylor.ie.ksu.edu)
Date: Fri Mar 09 2001 - 23:47:19 MET

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    Hi,
    You might find these reference useful:

    Bardossy, A.; Hagaman, R.; Duckstein, L.; and Bogardi, I., 1992. Fuzzy
    least squares regression: theory and application. Fuzzy regression analysis,
    181-193.
            Celmins, Aivars, 1987. Least squares model fitting to fuzzy vector
    data. Fuzzy Sets and System, 22: 245-269.
            Celmins, Aivars, 1987. Multidimensional least-squares fitting of fuzzy
    models. Math. Modeling,9: 669-689.
    Chang, P.-T.; Lee, E. S.,1994a. Fuzzy linear regression with spreads
    unrestricted in sign. Computers & Mathematics with Applications,
    28(4): 61-72.
            Chang, P.-T.; Lee, E. S., 1994b. Fuzzy least absolute
    deviations regression based on the ranking of fuzzy numbers. IEEE
    International Conference on Fuzzy Systems Proceedings of the 3rd
    IEEE Conference on Fuzzy Systems. Part 2, 2: 1365-1369.

    Chang, P.T.; Lee, E.S., 1996. A Generalized fuzzy weighted least-
    squares regression. Fuzzy Sets and Systems, 82(3): 289.
            Diamond, P., 1987. Least squares fitting of several fuzzy variables.
    The 2nd IFSA Congress, Tokyo, 329-331.
    Diamond, P., 1988. Fuzzy least squares. Information Science, 46: 141-157.

    > Hi!
    >
    > My research involves modelling of experimental pharmacokinetic data
    > and so far all such data are being described by statistical
    > regression. I would like to model my data using fuzzy regression, as
    > this seems a practical approach.
    >
    > Due to the nature of my experiments I usually could take only up to
    > 8 or 10 samples, which sometimes may lead to errors in the
    > estimated regression coefficients. These errors will certainly be
    > smaller if the coefficients are fuzzy numbers, accounting for the
    > existing uncertainty.
    >
    > Is there a software or an algorithm for fuzzy regression available?
    >
    > Any comments/advices are welcome!
    >
    > Thanks in advance.
    >
    > Eva
    > Ivelina Gueorguieva
    > PhD student
    > Centre for Pharmacokinetic Research
    > School of Pharmacy and Pharmaceutical Sciences
    > The University of Manchester
    > Oxford Road
    > Manchester M13 9PL
    > United Kingdom
    > E-mail: iva@fs1.pa.man.ac.uk
    >
    >

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