On Open Problems Connected with Application of the Iterative Proportional Fitting Procedure to Belief Functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00395348" target="_blank" >RIV/67985556:_____/13:00395348 - isvavai.cz</a>
Alternative codes found
RIV/61384399:31160/13:00042500
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
On Open Problems Connected with Application of the Iterative Proportional Fitting Procedure to Belief Functions
Original language description
In probability theory, Iterative Proportional Fitting Procedure can be used for construction of a joint probability measure from a system of its marginals. The present paper studies a possibility of application of an analogous procedure for belief functions, which was made possible by the fact that there exist operators of composition for belief functions. In fact, two different procedures based on two different composition operators are introduced. The procedure based on the composition derived from the Dempster's rule of combination is of very high computationally complexity and, from the theoretical point of view, practically nothing is known about its behavior. The other one, which uses the composition derived from the notion of factorization, is much more computationally efficient, and its convergence is guaranteed by a theorem proved in this paper.
Czech name
—
Czech description
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the Eighth International Symposium on Imprecise Probability: Theories adn Applications
ISBN
978-2-913923-35-5
ISSN
—
e-ISSN
—
Number of pages
9
Pages from-to
149-158
Publisher name
Society for Imprecise Probability: Theories and Applications
Place of publication
Compiegne
Event location
Compiegne
Event date
Jul 2, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—

Similar results(10)