Essential Conflict Measurement in Dempster–Shafer Theory for Intelligent Information Fusion

Dempster’s combination rule in Dempster–Shafer theory is a powerful and effective tool for multi-sensor data fusion. However, counterintuitive results are possible under the condition of a high conflict between pieces of evidence. This study demonstrates that existing conflict measurements cannot prevent such results and, thus, proposes a quantitative conflict measurement based on the concept of essential conflict. This work analyzes two characteristics of the essential conflict, namely belief absolutization and uncorrectable assertions. In addition, considering the desirable properties of the measurement, this study demonstrates that the measurement of essential conflict can reveal the essence of counterintuitive results in Dempster’s combination process. Finally, properties and examples are used to validate the proposed measurement.

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Publication Details

Journal
Mathematics
Published
2025-12-26
DOI
https://doi.org/10.3390/math14010097
Primary Topic
Multi-Criteria Decision Making
Type
article
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article

Essential Conflict Measurement in Dempster–Shafer Theory for Intelligent Information Fusion

Siyuan Wang, Jieyu Zhan, Wenjun Ma, Meishen He
Mathematics
Multi-Criteria Decision Making
article

Essential Conflict Measurement in Dempster–Shafer Theory for Intelligent Information Fusion

Siyuan Wang, Jieyu Zhan, Wenjun Ma, Meishen He
article en

Abstract

Dempster’s combination rule in Dempster–Shafer theory is a powerful and effective tool for multi-sensor data fusion. However, counterintuitive results are possible under the condition of a high conflict between pieces of evidence. This study demonstrates that existing conflict measurements cannot prevent such results and, thus, proposes a quantitative conflict measurement based on the concept of essential conflict. This work analyzes two characteristics of the essential conflict, namely belief absolutization and uncorrectable assertions. In addition, considering the desirable properties of the measurement, this study demonstrates that the measurement of essential conflict can reveal the essence of counterintuitive results in Dempster’s combination process. Finally, properties and examples are used to validate the proposed measurement.

MathematicsVol. 14(1)
South China Normal University (CN)
Openalex Percentile: Top 28%
Multi-Criteria Decision Making
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