Some maximum likelihood estimators for the fuzzy linear model

  • Phil Diamond
Fuzzy Sets And Possibility Theory
Part of the Lecture Notes in Computer Science book series (LNCS, volume 313)


Fuzzy Number Maximum Likelihood Estimator Fuzzy Variable Triangular Fuzzy Number Fuzzy Random Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. Celmins, Least squares model fitting to fuzzy linear data, Fuzzy Sets and Systems 22 (1987), 245–269.Google Scholar
  2. 2.
    A. Celmins, Multidimensional least squares fitting of fuzzy models, Mathematical Modelling (1988), to appear.Google Scholar
  3. 3.
    P. Diamond, Fuzzy least squares, Information Sciences (1988), to appear.Google Scholar
  4. 4.
    P. Diamond, Least squares fitting of several fuzzy variables, Proc. Second IFSA Congress, Tokyo, July 20–25 Vol.I (1987), 329–332.Google Scholar
  5. 5.
    P. Diamond, Fuzzy kriging, (1987), submitted for publication.Google Scholar
  6. 6.
    D. Dubois and H. Prade, “Fuzzy Sets and Systems: Theory and Applications,” Academic Press, New York, 1980.Google Scholar
  7. 7.
    B. Heshmaty and A. Kandel, Fuzzy linear regression and its applications to forecasting in uncertain environment, Fuzzy Sets and Systems 15 (1985), 159–191.Google Scholar
  8. 8.
    E. P. Klement, M. L. Puri and D. A. Ralescu, Limit theorems for fuzzy random variables, Proc. R. Soc. Lond. A 407 (1986), 171–182.Google Scholar
  9. 9.
    N. N. Lyashenko, Statistics of random compacts, J. Soviet Math. 21 (1983), 76–92.Google Scholar
  10. 10.
    M. L. Puri and D. A. Ralescu, Fuzzy random variables, J. Math. Anal. Applus. 114 (1986), 409–422.Google Scholar
  11. 11.
    E. Schlechtman and G. Schlechtman, Estimating the parameters in regression with uniformly distributed errors, J. Statist. Comput. Simul. 26 (1986), 269–281.Google Scholar
  12. 12.
    H. Tanaka, S. Uejima and K. Asai, Linear regression analysis with fuzzy model, IEEE Trans. Syst. Man, Cybern. SMC-12 (1982), 903–907.Google Scholar
  13. 13.
    A. W. Tucker, Dual systems of homogeneous linear relations, Linear Inequalities and Related Systems, Annals of Mathematics Study, Princeton University No. 38 (1956), 3–17.Google Scholar
  14. 14.
    A. Kaufman and M. M. Gupta, “Introduction to Fuzzy Arithmetic,” Van Nostrand Reinhold, New York, 1985.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Phil Diamond
    • 1
  1. 1.Mathematics DepartmentUniversity of QueenslandSt. LuciaAustralia

Personalised recommendations