**Subject: **Re: Imprecise Probability

**From: **Gert de Cooman (*Gert.DeCooman@rug.ac.be*)

**Date: **Sun Nov 19 2000 - 22:51:53 MET

**sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Next message:**Ellen Hisdal: "Re: Imprecise Probability"**Previous message:**Masoud Nikravesh: "BISC: Call FOR PAPER"**Maybe in reply to:**Otto Cordero: "Imprecise Probability"**Next in thread:**Ellen Hisdal: "Re: Imprecise Probability"**Maybe reply:**Gert de Cooman: "Re: Imprecise Probability"

Otto Cordero wrote:

*> I would like to be more specific about my previous question....
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*> Lets supose someone is asked to give his estimation about the probability of
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*> some event, answers like "0.78 of probability" are very unlikely. I would
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*> expect something as "high probability" or "low probability", here we
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*> linguistic terms, wich could be associated with fuzzy sets.
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*> I am asking for more information on how fuzzy sets theory joins with
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*> probabilty theory to manage this kind of situations.
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Peter Walley and I have been working towards the formulation of a theory

of "fuzzy probability", i.e., a theory that can deal with (allow us to

model and manipulate) vague probability assessments. Our approach is

based on the theory of imprecise probabilities (see for instance

http://ippserv.rug.ac.be); actually it is a generalisation of that

theory. It provides a calculus for fuzzy probabilities (if I have vague

probability assessments for some events, what can I infer about the

probability of other events?), and it gives an operationalisable and

behavioural (i.e. in terms of behavioural dispositions) definition to

the notion of a fuzzy probability.

We are still finishing two rather large papers we wrote on the subject,

one mathematical and one more "philosophical", but as soon as they are

ready (in less than a month), I'll post an announcement to this list,

since there seems to be an interest for it. There already is a

conference paper about the mathematics (calculus):

Gert de Cooman, Possibilistic previsions, Proceedings of IPMU'98

(Seventh Conference on Information Processing and Management of

Uncertainty in Knowledge-Based Systems, July 6 - 10, 1998, Paris,

France), volume I, pp. 2-9, Editions E.D.K., Paris.

A preprint can be downloaded from my web site (ippserv.rug.ac.be/~gert,

under the heading "publications").

Best wishes,

Gert de Cooman

-- ============================================================== Prof. dr. ir. Gert de Cooman Onzekerheidsmodellering en systeemtheorie/ Uncertainty modelling and systems theory -------------------------------------------------------------- E-mail: gert.decooman@rug.ac.be URL: http://ippserv.rug.ac.be/~gert -------------------------------------------------------------- Universiteit Gent Onderzoeksgroep SYSTeMS Technologiepark - Zwijnaarde 9 9052 Zwijnaarde Belgium -------------------------------------------------------------- Tel: +32-(0)9-264 56 53 Fax: +32-(0)9-264 58 40 ==============================================================############################################################################ This message was posted through the fuzzy mailing list. (1) To subscribe to this mailing list, send a message body of "SUB FUZZY-MAIL myFirstName mySurname" to listproc@dbai.tuwien.ac.at (2) To unsubscribe from this mailing list, send a message body of "UNSUB FUZZY-MAIL" or "UNSUB FUZZY-MAIL yoursubscription@email.address.com" to listproc@dbai.tuwien.ac.at (3) To reach the human who maintains the list, send mail to fuzzy-owner@dbai.tuwien.ac.at (4) WWW access and other information on Fuzzy Sets and Logic see http://www.dbai.tuwien.ac.at/ftp/mlowner/fuzzy-mail.info (5) WWW archive: http://www.dbai.tuwien.ac.at/marchives/fuzzy-mail/index.html

**Next message:**Ellen Hisdal: "Re: Imprecise Probability"**Previous message:**Masoud Nikravesh: "BISC: Call FOR PAPER"**Maybe in reply to:**Otto Cordero: "Imprecise Probability"**Next in thread:**Ellen Hisdal: "Re: Imprecise Probability"**Maybe reply:**Gert de Cooman: "Re: Imprecise Probability"

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