A nonstandard modification of Dempster combination rule
Kybernetika (2002)
- Volume: 38, Issue: 1, page [1]-12
- ISSN: 0023-5954
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topKramosil, Ivan. "A nonstandard modification of Dempster combination rule." Kybernetika 38.1 (2002): [1]-12. <http://eudml.org/doc/33564>.
@article{Kramosil2002,
abstract = {It is a well-known fact that the Dempster combination rule for combination of uncertainty degrees coming from two or more sources is legitimate only if the combined empirical data, charged with uncertainty and taken as random variables, are statistically (stochastically) independent. We shall prove, however, that for a particular but large enough class of probability measures, an analogy of Dempster combination rule, preserving its extensional character but using some nonstandard and boolean-like structures over the unit interval of real numbers, can be obtained without the assumption of statistical independence of input empirical data charged with uncertainty.},
author = {Kramosil, Ivan},
journal = {Kybernetika},
keywords = {nonstandard probability; Boolean algebra; nonstandard probability; Boolean algebra},
language = {eng},
number = {1},
pages = {[1]-12},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A nonstandard modification of Dempster combination rule},
url = {http://eudml.org/doc/33564},
volume = {38},
year = {2002},
}
TY - JOUR
AU - Kramosil, Ivan
TI - A nonstandard modification of Dempster combination rule
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 1
SP - [1]
EP - 12
AB - It is a well-known fact that the Dempster combination rule for combination of uncertainty degrees coming from two or more sources is legitimate only if the combined empirical data, charged with uncertainty and taken as random variables, are statistically (stochastically) independent. We shall prove, however, that for a particular but large enough class of probability measures, an analogy of Dempster combination rule, preserving its extensional character but using some nonstandard and boolean-like structures over the unit interval of real numbers, can be obtained without the assumption of statistical independence of input empirical data charged with uncertainty.
LA - eng
KW - nonstandard probability; Boolean algebra; nonstandard probability; Boolean algebra
UR - http://eudml.org/doc/33564
ER -
References
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