International Journal of Computational Intelligence Systems

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Volume 14, Issue 1, 2021, Pages 438 - 452

Hidden Conflicts of Belief Functions

Authors
Milan Daniel1, *, ORCID, Václav Kratochvíl2, ORCID
1Institute of Computer Sciences, Czech Academy of Sciences, Pod Vodárenskou věží 2, Prague, 182 07, Czech Republic
2Institute of Information Theory and Automation, Czech Academy of Sciences, Pod Vodárenskou věží 4, Prague, 182 00, Czech Republic
*Corresponding author. Email: milan.daniel@cs.cas.cz
Corresponding Author
Milan Daniel
Received 6 May 2020, Accepted 23 September 2020, Available Online 22 October 2020.
DOI
10.2991/ijcis.d.201008.001How to use a DOI?
Keywords
Belief function; Internal conflict; Conflict between belief functions; Hidden conflict; Auto-conflict; Non-conflictness
Abstract

In this paper, hidden conflicts of belief functions are observed in the case where the sum of all multiples of the conflicting belief masses equals zero. Degrees of hidden conflicts and a degree of non-conflictness are defined and analyzed, including full non-conflictness. The notion of a hidden conflict extends the traditional approach to conflicts of belief functions. A hidden conflict between two belief functions is distinguished from internal hidden conflict(s) of the individual belief function(s). Upper bounds for both degrees of hidden conflict of two belief functions and degrees of hidden internal conflict of a belief function are presented, together with other properties of both types of hidden conflicts. The presented results include the relationship of hidden conflicts and of Martin's auto-conflicts together with an extended overview of properties of auto-conflicts. Finally, computational issues of hidden conflicts and non-conflictness are presented.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
14 - 1
Pages
438 - 452
Publication Date
2020/10/22
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.201008.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Milan Daniel
AU  - Václav Kratochvíl
PY  - 2020
DA  - 2020/10/22
TI  - Hidden Conflicts of Belief Functions
JO  - International Journal of Computational Intelligence Systems
SP  - 438
EP  - 452
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201008.001
DO  - 10.2991/ijcis.d.201008.001
ID  - Daniel2020
ER  -