FIRST INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITIES AND THEIR APPLICATIONS

Ghent, Belgium
30 June - 2 July 1999

ELECTRONIC PROCEEDINGS

Paola Castellan and Andrea Sgarro

Open-frame Dempster Conditioning for Incomplete Interval Probabilities

Abstract

The second author has put forward a theory of incomplete interval probabilities meant to give a common framework to both interval probabilities and open-frame bodies of evidence, as obtained by application of the non-normalized (open-frame) Dempster rule. Below we re-describe this proposal and then compare two possible ways of "conditioning" based on the open-frame Dempster rule: namely, we condition the original (possibly incomplete) knowledge by pooling it with new evidence which assigns certainty to the conditioning event. The idea is trying to build a probabilistic theory which would be able to cope not only wth uncertainty and ignorance, but also with [forms of] contradictoriness, to be included into the description of a possible state of knowledge.

Keywords. Open-frame beliefs, Dempster conditioning, incomplete probabilities, interval probabilities

The paper is available in the following formats and sites:

Authors addresses:

Department of Mathematical Sciences
University
34100 Trieste, Italy

E-mail addresses:

Paola Castellan sgarro@univ.trieste.it
Andrea Sgarro sgarro@univ.trieste.it


[ back to the Proceedings of ISIPTA '99 home page 
Send any remarks to the following address: smc@decsai.ugr.es