Approximately Groups in Proximal Relator Spaces: An Algebraic View of Digital Images

TL;DR

This paper introduces a new algebraic framework for digital images using proximal relator spaces, defining descriptive approximations and algebraic structures like groups and semigroups within this context.

Contribution

It presents a novel approach to model digital images algebraically through descriptive proximities, extending traditional algebraic structures to this new setting.

Findings

Defined descriptive approximations in proximal relator spaces

Introduced algebraic structures such as groups and semigroups in digital images

Extended algebraic concepts to digital images with proximity relations

Abstract

The focus of this article is to define the descriptively approximations in proximal relator spaces. Afterwards, descriptive approximately algebraic structures such as groupoids, semigroups and groups in digital images endowed with descriptive Efremovic proximity relations were introduced.