A New Probability Transformation Based on the Ordered Visibility Graph

AbstractOne of the key issues in the application of the Dempster-Shafer evidence theory is the transformation between basic probability assignments BPAs and probability. In this paper, new probability transformation based on the ordered visibility graph OVG is proposed to solve the decision-making problem. In the proposed transformation, an OVG can be constructed based on the BPAs. From this OVG, the network of focal elements can be obtained. The degree of a node in the network represents its weight, which is essential to the transformation. Based on these weights, the probability results are obtained. Some illustrative cases are provided to demonstrate the effectiveness of the proposed probability transformation.