A Novel Method for Basic Probability Assignment in Evidence Theory with Application to Multiple MPC

Nowadays, Dumpster-Shafer theory of evidence is widely used in data fusion. This theory is a powerful tool for modelling, combination and inference of uncertain, imprecise and incomplete information. The fundamental object of D-S theory is a primitive function called Basic Probability Assignment (BPA), which should be determined based on characteristics of the process. How to determine BPA is still a matter of discussion. In this paper, a novel method is proposed for basic probability assignment. In the proposed method, BPA is determined for each point according to its distances from the cluster centers, by means of fuzzy membership functions. The proposed method is used to determine the switch signal of a multiple MPC, and simulation results show that it considerably reduces the undesired switching. Moreover, the advantages of the reposed method when compared to one of the conventional methods would be discussed.