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DOI: https://doi.org/10.26456/fssc63

Аннотация: 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.

Ключевые слова: conflict measure, belief functions theory, imprecise index, combining rules.

Финансовая поддержка	Номер гранта
Российский фонд фундаментальных исследований	18-01-00877
Министерство образования и науки Российской Федерации
The study has been funded by the Russian Academic Excellence Project '5-100'. This work was also partially supported by the grant 18-01-00877 of RFBR (Russian Foundation for Basic Research).

Поступила в редакцию: 15.03.2020
Исправленный вариант: 15.04.2020

Реферативные базы данных:

Образец цитирования: A. E. Lepskiy, “Decompositional approach for evaluation of internal conflict in the framework of the evidence theory”, Нечеткие системы и мягкие вычисления, 15:1 (2020), 43–63

Цитирование в формате AMSBIB

Образцы ссылок на эту страницу:

https://www.mathnet.ru/rus/fssc63

https://www.mathnet.ru/rus/fssc/v15/i1/p43

Эта публикация цитируется в следующих статьяx:

1. А. Е. Лепский, “Анализ противоречивости информации в теории функций доверия. Ч. 2. Внутренний конфликт”, Пробл. управл., 6 (2021), 3–14    ; A. E. Lepskiy, “Analysis of information inconsistency in belief function theory. Part II: internal conflict”, Control Sciences, 2021, no. 6, 2–12  

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles