Abstract
The paper studies the variation of the conflict measure with blurring of focal elements and discounting of the masses of the belief functions in the framework of the theory of evidence. Blurring of focal elements is modeled using fuzzy sets. Such properties of the conflict measure as the robustness to transformations of the bodies of evidence, the monotonicity and the direction of change are investigated. A numerical example of calculating the measure of conflict, taking into account the blurring of focal elements and discounting of masses for the selection of bodies of evidence for the aggregation of analysts’ forecasts regarding the oil price, is considered.
The financial support from the Government of the Russian Federation within the framework of the implementation of the 5–100 Programme Roadmap of the National Research University Higher School of Economics is acknowledged.
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Lepskiy, A. (2021). Conflict Measure of Belief Functions with Blurred Focal Elements on the Real Line. In: Denœux, T., Lefèvre, E., Liu, Z., Pichon, F. (eds) Belief Functions: Theory and Applications. BELIEF 2021. Lecture Notes in Computer Science(), vol 12915. Springer, Cham. https://doi.org/10.1007/978-3-030-88601-1_20
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DOI: https://doi.org/10.1007/978-3-030-88601-1_20
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