On Internal Conflict as an External Conflict of a Decomposition of Evidence

Lepskiy, Alexander

doi:10.1007/978-3-319-45559-4_3

Cited by 5 publications

(3 citation statements)

References 15 publications

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“…In the general case, the evaluation of internal conflict of evidence, is defined as a solution to the optimization problem, and is formulated with some restrictions in Some results of this paper were announced in [18,19].…”

Section: Introductionmentioning

confidence: 99%

Decompositional approach for evaluation of internal conflict in the framework of the evidence theory

Alexander

2020

Fuzzy Systems and Soft Computing

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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.

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Section: Introductionmentioning

confidence: 99%

Decompositional approach for evaluation of internal conflict in the framework of the evidence theory

Alexander

2020

Fuzzy Systems and Soft Computing

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“…In particular, if the evidence contains non-intersecting focal elements with large masses, then this indicates about a great internal conflict of such evidence. There are various ways to evaluate internal conflict [6,17,24]. For example, the value K(F, F ) (so-called autoconflict) can be considered a measure of the internal conflict of the body of evidence of F = (A, m).…”

Section: Introductionmentioning

confidence: 99%

Application of Non-additive Measures and Integrals for Analysis of the Importance of Party Positions for Voting

Lepskiy

Smolev²

2019

Proceedings of the 2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and

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The paper shows the possibility of applying the tool of non-additive measures and the belief functions theory to solving a number of problems of significance analysis and conflict of the political party positions. The study was performed on a database of online polls of parties in Germany before the elections to the Bundestag in 2013 and the results of these elections. The possibility of finding the most significant groups of issues for voting, evaluating the political heterogeneity of society, assessing the importance of the positions of individual parties for voting, assessing the conflict of the party positions on important issues is shown.

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“…This conflict can be caused by the fact that every belief function can be also generated by merging of conflicting sources of information. The last idea was used in several papers [8,9,12], where authors tried to get a decomposition of evidence for evaluating inner or external conflict based on several aggregation rules.…”

Section: Introductionmentioning

confidence: 99%

Clustering a body of evidence based on conflict measures

Bronevich

Lepskiy

2019

Proceedings of the 2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and

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In real applications, sometimes it is necessary to evaluate inner or external conflict of pieces of evidence. However, these numerical values cannot give us explanations why this conflict occurs. Thus, we need deeper analysis of available information. In the paper, we propose the clusterization of a given evidence on pieces of evidence in a way that we try to achieve the highest conflict among pieces of evidence and the smallest inner conflict within pieces of evidences based on several functionals that help us to evaluate inner and external conflict.

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On Internal Conflict as an External Conflict of a Decomposition of Evidence

Cited by 5 publications

References 15 publications

Decompositional approach for evaluation of internal conflict in the framework of the evidence theory

Decompositional approach for evaluation of internal conflict in the framework of the evidence theory

Application of Non-additive Measures and Integrals for Analysis of the Importance of Party Positions for Voting

Clustering a body of evidence based on conflict measures

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