Extended k-Nearest Neighbours based on Evidence Theory

Abstract

An evidence theoretic classification method is proposed in this paper. In order to classify a pattern we consider its neighbours, which are taken as parts of a single source of evidence to support the class membership of the pattern. A single mass function or basic belief assignment is then derived, and the belief function and the pignistic ("betting rates") probability function can be calculated. Then the (posterior) conditional pignistic probability function is calculated and used to decide the class label for the pattern.