Reference
Subject: Re: Re; [UAI} Definition of a Bayesian Network
From: Kathryn Blackmond Laskey <klaskey@gmu.edu>
Date: Wed, 29 Aug 2001 12:18:20 -0700
Sender: owner-uai@cs.orst.edu
In her mail, Kathy expresses her feeling that probability theory had
an excellent semantic, whereas fuzzy set theory misses it.
I like to point that a full semantic about possibility theory is
described in the next two papers, and that this semantic provides a
semantic for fuzzy set theory.
The first paper presents a semantic for subjective possibility
functions and is based on the same kind of semantic as used for
Bayesian probabilities, i.e., betting behavior.
The second paper presents the same semantic plus another semantic for
objective possibility functions.
Interested readers can downloaded these 2 papers from my web site,
address below.
Comments are welcome.
Philippe Smets
Smets Ph.(2000) Quantitative Epistemic Possibility Theory seens as an
Hyper Cautious Transferable Belif Model.
LFA La Rochelle, TR/IRIDIA-2000-18
Providing a semantic to the values given to the degrees of
possibility. Based on the TBM and cautious combination rules.
Possib_Semantic.ps
Possib_Semantic.pdf
Dubois D., Prade H. and Smets Ph. (2001) New Semantics for
Quantitative Possibility Theory.
ISIPTA'01. Ithaca, NY.
Semantic for both the subjective and objective possibility measures.
SemanticPossSubjObj.pdf
- --
********************************************
Philippe Smets
email: psmets@ulb.ac.be
web: http://iridia.ulb.ac.be/~psmets
Institut de Recherches Interdisciplinaires et de Developements
en Intelligence Artificielle.
IRIDIA-CP 194/6, Universite Libre de Bruxelles
50 av. Roosevelt,
1050 Bruxelles, Belgium.
tel 32 2 650 27 29 secretary,
32 2 344 82 96 private (where I am usually)
fax: 32 2 650 27 15
GSM: 32 495 50 10 72
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