Applications of Binary Intuitionistic Fine Topological Spaces for Digital Plane

Authors

DOI:

https://doi.org/10.26713/cma.v15i2.2655

Keywords:

4 and 8-BIf T adjacencies, Digital plane, BIf TS, BIf -connected points

Abstract

In order to model computer images, digital spaces such as Z2 are utilized and the link between the classical topological spaces such as T1,T1/2,T0 spaces etc., and the digital spaces are studied by many authors to solve important connectivity problems, studying graphics, pattern recognition etc. In graph theoretical approach to solve connectivity contradictions 4 and 8 adjacencies serves as the basic. It is well known that key approaches to solve such problems are graph theoretic approach and topological approach. Traditional 4 and 8 adjacencies in a topology are considered in this article which aims to structure 4 and 8 adjacencies in a topology called binary intuitionistic fine topology (\BIfT). Initially 4 and 8 adjacencies-\BIfT are constructed and operators such as 4 and 8-BIfT interiors and closures are defined and their properties are discussed. Eventually, 4 and 8 connected-\BIf-connected and non-connected points are defined and explained using example.

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Published

14-11-2024
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How to Cite

Venish, A. G. R., Vidyarani, L., & Vigneshwaran, M. (2024). Applications of Binary Intuitionistic Fine Topological Spaces for Digital Plane. Communications in Mathematics and Applications, 15(2), 635–646. https://doi.org/10.26713/cma.v15i2.2655

Issue

Vol. 15 No. 2 (2024)

Section

Research Article

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