A new perspective of modified partition coefficient

Abstract

We begin by showing that the modified partition coefficient (MPC) is an average Euclidean distance between membership degrees and the centre of the fuzzy c-partition. Subsequently, we construct alternative MPCs using several other measures of dissimilarity and examine how differently they perform when compared with the original proposal. Empirical evidence shows that the MPC based on a Chernoff's measure of divergence is more robust to the initial conditions of the fuzzy c-means algorithm.