Applications of binary intuitionistic fine topological spaces for digital plane

Authors

  • Rose Venish A.G Kongunadu Arts and Science College, Coimbatore.
  • Vidyarani L
  • Vigneshwaran M

Keywords:

4 and 8-BIfT adjacencies, Digital plane, BIfT S, 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., with 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 consideredin tis 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

How to Cite

A.G, R. V., L, V., & M, V. (2024). Applications of binary intuitionistic fine topological spaces for digital plane. Communications in Mathematics and Applications, 15(2). Retrieved from https://rgnpublications.com/journals/index.php/cma/article/view/2655

Issue

Vol. 15 No. 2 (2024)

Section

Research Article

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