Comparison of Bayesian and Dempster-Shafer Theory for Sensing: A Practitioner's Approach
AbstractThis paper presents an applied practical comparison of Bayesian and Dempster-Shafer techniques useful for managing uncertainty in sensing. Three formulations of the same example are presented: a Bayesian, a naive Dempster-Shafer, and a Dempster-Shafer approach using a refined frame of discernment. Both the Bayesian and Dempster-Shafer (with a refined frame of discernment) yield similar results; however, information content and representations are different between the two methods. Bayesian theory requires a more explicit formulation of conditioning and the prior probabilities of events. Dempster-Shafer theory embeds conditioning information into its belief function and does not rely on prior knowledge, making it appropriate for situations where it is difficult to either collect or posit such probabilities, or isolate their contribution. 1 Introduction Sensing is the principle means by which an intelligent agent forms beliefs about the world. Sensing is uncertain incomplete, missing, a..