Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

When upper conditional probabilities are conditional possibility measures

Authors
Giulianella Coletti, Davide Petturiti, Barbara Vantaggi
Corresponding Author
Giulianella Coletti
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.152How to use a DOI?
Keywords
Conditional possibility, conditional probability, inference, upper envelope, weak logical independence, generalized Bayesian rule
Abstract

Conditioning for (non-additive) uncertainty measures is still an open problem. These measures can arise through probabilistic inference procedures, as in the case of possibility measures, that can be seen as the upper envelope of the extensions of a probability when the corresponding algebras are weakly logically independent. The aim of this paper is to define a conditioning rule (B-conditioning) such that the upper envelope of the extensions of a full conditional probability on an algebra A is a full Bconditional possibility on another algebra A' under weak logical independence of A, A'.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.152How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Giulianella Coletti
AU  - Davide Petturiti
AU  - Barbara Vantaggi
PY  - 2015/06
DA  - 2015/06
TI  - When upper conditional probabilities are conditional possibility measures
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 1076
EP  - 1081
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.152
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.152
ID  - Coletti2015/06
ER  -