Methods to obtain basic Probability Assignment in Evidence Theory

Abstract

Dempster-Shafer Theory (DST) of Evidence is a powerful and flexible mathematical tool for handling uncertainty, impreciseness, and incomplete information. It can be used when both epistemic and aleatory uncertainties are present in the problem under consideration. The fundamental and important object of this theory of evidence is the primitive function called basic probability assignment (bpa). In the absence of empirical data, experts in related fields provide necessary information (bpa). However how to obtain BPA is still an open issue. In this paper, we propose methods to determine BPA when only the minimum, maximum and most likely values of the parameter are known. An example is illustrated to demonstrate and check the efficiency of the proposed methods. We have also developed an extended version of uncertainty measurement in evidence theory in order to calculated total uncertainty in the body of evidence obtained by the proposed methods.

A Novel Way of BPA Calculation for Context Inference using Sensor Signals

“…Ali and P. Dutta proposed a method to determine BPA when minimum, maximum and most likely values of the parameter are known. They developed an extended version of uncertainty measurement in evidence theory in order to calculated total uncertainty of the body of evidence [1]. A.O.…”

A Novel way of Basic Probability Assignment Calculation for Multisensor Data Fusion

“…T. Ali et al, proposed a method of deciding a BPA in the context in which minimal value, maximum value and arithmetic operator in an approximate value are recognized [3].…”

“…Suppose that in a DST, the whole set consisting of mutually exclusive propositions is Θ and that 2 θ is the power set of Θ, which includes all possible propositions, the basic probability assignment m assigned to an interest element has four kinds of the following characteristics [3,4].…”

A Method to Determine Basic Probability Assignment in Context Awareness of a Moving Object

“…They applied it to color image segmentation [4]. Ali and Dutta suggested a way to determine BPA when the operators of minimum, maximum, and approximate values were recognized [5]. Jiang et al showed a way to determine BPA with measuring a distance between subject properties and tested sample data [6].…”