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

Authors

1 Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran.

2 Associate professor of Faculty of Electrical Engineering, Shahid Beheshti University, Tehran, Ira

3 Academic Staff/ Babol Noshirvani Univ. of Technology

Abstract

Nowadays, Dempster-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 centres, 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 roposed method when compared to one of the conventional methods would be
discussed.

Keywords

Journal of Soft Computing and Information Technology
Volume 2, Issue 1 - Serial Number 5
January 2012
Pages 20-32

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