Three-way decision based on belief function

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Abstract

In this paper, the basic knowledge of three-way decision and the D-S evidence theory are reviewed, respectively. A new model of the three-way decision is proposed, which is based on a belief function. The probability function is replaced with the belief function in the classical three-way decision model. Besides the decision rules are proposed in this model, some properties are also discussed. Meanwhile, a universe is divided into three disjoint regions by the different values of the belief functions in this model and their decision rules. Finally, a comprehensive illustration is presented to verify the effectiveness and feasibility of this model.

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Xue, Z., Liu, J., Xue, T., Zhu, T., & Wang, P. (2014). Three-way decision based on belief function. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8818, pp. 742–752). Springer Verlag. https://doi.org/10.1007/978-3-319-11740-9_68

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