In this paper, we propose new method to calculate the distance between intuitionistic fuzzy sets (IFSs) based on three dimensional representation of IFSs and analyze relations similarity measure IFSs. Finally, apply proposed measures pattern recognitions.

Picture fuzzy sets, which are the extension of intuitionistic can deal with inconsistent information better in practical applications. A distance measure is an important mathematical tool to calculate difference degree between picture sets. Although some measures sets have been constructed, there unreasonable and counterintuitive cases. The main reason that existing do not or seldom consider re...

This paper presents an improved distance measure for speaker clustering in speaker diarization systems. The proposed phonetic subspace mixture (PSM) model introduces phonetic information to the BIC distance measure. Therefore, the new PSM model-based BIC distance measure can remove the effect of phonetic content on the diarization results. The typical BIC distance measure can be seen as a speci...

Based on the axiom de nition of distance measure, some new formulas of fuzzy entropy induced by distance measure and some new properties of distance measure are given. A characterization of a -distance measure is a metric de ned on all fuzzy sets is obtained. c © 2001 Elsevier Science B.V. All rights reserved.

In applications of differential geometry to problems of parametric inference, the notion of divergence is often used to measure the separation between two parametric densities. Among them, in this paper, we will verify measures such as Kullback-Leibler information, J-divergence, Hellinger distance, -Divergence, … and so on. Properties and results related to distance between probability d...