A Step towards Upper-bound of Conflict of Belief Functions based on Non-conflicting Parts

0510447 - ÚTIA 2020 RIV CZ eng K - Conference Paper (Czech conference)
Daniel, M. - Kratochvíl, Václav
A Step towards Upper-bound of Conflict of Belief Functions based on Non-conflicting Parts.
Proceedings of the 22nd Czech-Japan Seminar on Data Analysis and Decision Making (CJS’19). Praha: MatfyzPress, 2019 - (Inuiguchi, M.; Jiroušek, R.; Kratochvíl, V.), s. 29-40. ISBN 978-80-7378-400-3.
[Czech-Japan Seminar on Data Analysis and Decision Making 2019 (CJS’19) /22./. Nový Světlov (CZ), 25.09.2019-28.09.2019]
R&D Projects: GA ČR(CZ) GA19-04579S
Institutional support: RVO:67985556
Keywords : Belief functions * Dempster-Shafer theory * Uncertainty * Conflict-ing belief masses * Conflict between belief functions * Hidden conflict
OECD category: Applied mathematics
http://library.utia.cas.cz/separaty/2019/MTR/kratochvil-0510447.pdf

This study compares the size of conflict based on non-conflicting parts of belief functions $Conf$ with the sum of all multiples of bbms of disjoint focal elements of belief functions in question. In general, we make an effort to reach a simple upper bound function for $Conf$. (Nevertheless, the maximal value of conflict is, of course, equal to 1 for fully conflicting belief functions). We apply both theoretical research using the recent results on belief functions and also experimental computational approach here.
Permanent Link: http://hdl.handle.net/11104/0302535