Intuitionistic fine space

Author:

Rose Venish Ayyakanupillai Gnanaudhayam1ORCID,Vidyarani Lakshmanadas1ORCID,M Vigneshwaran1ORCID

Affiliation:

1. Kongunadu Arts and Science College

Abstract

In the exploration of intuitionistic fine spaces, this article introduces a novel concept known as intuitionistic fine open sets (IfOS). Delving into the properties of these sets, the study analyzes both intuitionistic fine open and closed sets within the context of intuitionistic fine spaces. The article establishes fundamental definitions, accompanied by illustrative real time example, to provide a comprehensive understanding of the newly introduced sets. Furthermore, the exploration extends to defining and examining key concepts such as intuitionistic fine continuity, intuitionistic fine irresoluteness, and intuitionistic fine irresolute homeomorphism. This progression aims to contribute to the broader comprehension and application of intuitionistic fine spaces in topological contexts.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Reference22 articles.

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5. Girija, S., Gnanambal, I., Some more results on intuitionistic semi open sets, Int J Eng Res Appl., 4(11) (2014), 70-74.

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