Re: fuzzy and probability

Gert de Cooman (gert.decooman@rug.ac.be)
Thu, 4 Feb 1999 18:59:33 +0100 (MET)

njchiu@eos.ncsu.edu wrote:

> Can anyone recommend a book, (or an article) that has a
> good discussion on the difference between fuzzy set theory
> and probability theory.

The following papers may be of interest: they are about the connection
between possibility theory (and fuzzy set theory) and probability theory
in the context of the theory of imprecise probabilities. You can find
more information on my website (http://ensmain.rug.ac.be/~gert) under
the heading "publications".

More information about imprecise probabilities can be found on the
website of the Imprecise Probabilities Project
(http://ensmain.rug.ac.be/~ipp).

---------------------

Peter Walley and Gert de Cooman, A behavioural model for linguistic
uncertainty, 26 pages, accepted for publication in: Computing with
Words, ed. Paul P. Wang, 1998.

Gert De Cooman, Integration in possibility theory, 40 pages, submitted
for publication in: Fuzzy Measures and Integrals - Theory and
Applications, ed. M. Grabisch, T. Murofushi en M. Sugeno, 1998.

Peter Walley and Gert de Cooman, Coherence of rules for defining
conditional possibilities, 29 pages, accepted for publication in
International Journal of Approximate Reasoning, 1998.

Gert de Cooman and Peter Walley, An imprecise hierarchical model for
behaviour under uncertainty, 34 pages, submitted for publication to
Econometrica, 1998.

Gert de Cooman and Dirk Aeyels, A random set description of a
possibility measure and its natural extension, 6 pages, submitted for
publication in IEEE Transactions on Systems, Man and Cybernetics, 1997.

Gert de Cooman and Dirk Aeyels, Supremum preserving upper probabilities,
27 pages, accepted for publication in Information Sciences, 1998.

-------------------

Best wishes,

Gert de Cooman

-- 

============================================================== Dr. ir. Gert de Cooman Postdoctoraal Onderzoeker FWO/Postdoctoral Fellow FWO -------------------------------------------------------------- E-mail: gert.decooman@rug.ac.be URL: http://ensmain.rug.ac.be/~gert -------------------------------------------------------------- Universiteit Gent Vakgroep Elektrische Energietechniek Onderzoeksgroep SYSTeMS Technologiepark - Zwijnaarde 9 9052 Zwijnaarde Belgium -------------------------------------------------------------- Tel: +32-(0)9-264 56 53 Fax: +32-(0)9-264 58 40 ==============================================================

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