Re: Fuzzy Regression

Dr. Aivars Celmins (celms@ARL.MIL)
Tue, 5 Dec 1995 00:06:30 +0100


Problems where a fuzzy model is fitted to crisp data are treated,
for instance, in the following articles.

Aivars Celmins <celms@arl,mil>

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

A. K. Celmins "Multidimensional least-squares fitting of fuzzy
models", Mathematical Modelling, Vol. 9, pp. 669-690, 1987.

A. Celmins "Nonlinear Least-Squares Regression in Fuzzy Vector
Spaces", in Fuzzy Regression Analysis, Janusz Kacprzyk and Mario Fedrizzi,
Editors, Studies in Fuzziness, Vol. 1, Physica Verlag, Heidelbrg, Germany,
pp. 152-168, 1992.

H. Ishibuchi, H. Tanaka and H. Okada, "An architecture of neural networks
with interval weights and its application to fuzzy regression analysis"
Fuzzy Sets & Systems, 57 (1993), pp. 27-39.

Prashant Balepur wrote in Nafips-L:

>This follows some of my earlier posts regarding fuzzy regression. I'm looking
>at applications of FR to trip generation (transportation) problems. Most FR
>models that I've come across primarily address the issue of fuzzy/vague data.
>In the application that I'm considering, the relationships rather than the data
>are likely to be vague or fuzzy. Are there FR models catering to such problems?
>Any hints / comments welcome.

>Prashant Balepur
>Student Post Grad. Researcher
>Inst. of Transportation Studies
>UC, Davis.