A Neutrosophic Approach to Digital Images

Abstract

This research paper presents a neutrosophic mathematical representation of the elements of the digital
image by dividing the points of the digital picture matrix into neutrosophic sets (PNS - Picture Neutrosophic
Set), and studying the degree of connection between the points of the digital image for us to reach to the
connected neutrosophic sets. We have also introduced many mathematical theories and results to calculate the
difference and dissimilarity between the neutrosophic sets, which contributes practically in the comparison
between digital images and their different uses. Our results help mainly to upgrade and create new neutrosophic
algorithms for searching inside images and videos databases.