Entropy of Belief Functions in the Dempster-Shafer Theory: A New Perspective

0507222 - ÚTIA 2020 RIV CH eng C - Conference Paper (international conference)
Jiroušek, Radim - Shenoy, P. P.
Entropy of Belief Functions in the Dempster-Shafer Theory: A New Perspective.
Belief Functions: Theory and Applications. Cham: Springer, 2016 - (Vejnarová, J.; Kratochvíl, V.), s. 3-13. Lecture Notes in Artificial Intelligence, LNAI 9861. ISBN 978-3-319-45558-7. ISSN 0302-9743.
[International Conference on Belief Functions 2016 /4./. Prague (CZ), 21.09.2016-23.09.2016]
Grant - others:GA ČR(CZ) GA15-00215S
Institutional support: RVO:67985556
Keywords : Dempster-Shafer theory * Entropy * Probability consistency * Ignorance
OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
http://library.utia.cas.cz/separaty/2019/MTR/jirousek-0507222.pdf

The paper proposes a new definition of entropy of basic probability assignments (BPA) in the Dempster-Shafer (D-S) theory of belief func­tions, which is interpreted as a measure of total uncertainty in the BPA. A list of five desired properties of entropy for D-S belief func­tions theory is stated that are motivated by Shannon's definition of entropy of probability functions, together with the implicit requirement that any definition should be consistent with the semantics of D-S belief functions theory.
Permanent Link: http://hdl.handle.net/11104/0298564