Open AccessDecompositional approach for evaluation of internal conflict in the framework of the evidence theory
Author(s) -
Lepskiy Alexander
Publication year - 2020
Publication title -
nečetkie sistemy i mâgkie vyčisleniâ
Language(s) - English
Resource type - Journals
ISSN - 1819-4362
DOI - 10.26456/fssc63
Subject(s) - categorical variable , decomposition , set (abstract data type) , internal conflict , conflict theories , dempster–shafer theory , decomposition method (queueing theory) , computer science , mathematics , mathematical economics , artificial intelligence , conflict resolution , political science , discrete mathematics , machine learning , law , ecology , politics , biology , programming language
The concept of conflict is one of the central in the belief functions theory. There are differences between external and internal conflicts. A new method for estimating the internal conflict is proposed and studied in this paper. This method assumes that the original body of evidence was derived from simpler evidence using some combining rule. Therefore, an internal conflict can be considered as an external conflict of decomposition of the original body of evidence. This approach is specified in the article for decomposition by the Dempster rule and decomposition by the disjunctive consensus rule. The possible limits of change of the internal conflict are found in the case of these two combining rules for single-focal (categorical) and two-focal bodies of evidence. The decomposition method is discussed in detail for the case of a universal set with two alternatives.