A Study on Intuitionistic Soft Set Topological Spaces

Balamurugan¹, Dr. A. Arivu Chelvam²

¹Research Scholar, PG and Research Department of Mathematics, Mannar Thirumalai Naicker college, Madurai, India.

²Associate Professor, PG and Research Department of Mathematics, Mannar Thirumalai Naicker College, Madurai, India.

Abstract

In this study, we present the concept of Intuitionistic Soft Set Topological Spaces, which are defined as an Initial Universe, the power set, and a set of fixed objects. Interior and closure points are defined, and the concepts of Intuitionistic and Generalized Intuitionistic Soft Set Topology are introduced. The fundamental characteristics and outcomes of these notions are carefully examined. The study also investigates how many Intuitionistic Soft Sets can exist for a nonempty set with 'n' elements. It is demonstrated that this novel class of Intuitionistic Soft Topological Spaces parameterizes a family of topological spaces, and their properties and outcomes are thoroughly explored.

Keywords

• Soft Set, Topological Space, Topological Soft Set, Employability, Topological Continuity, Connected Space

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Cite this Article as Follows

M Balamurugan, & Chelvam A, A. (2026). A Study on Intuitionistic Soft Set Topological Spaces: GPIR 2026 - Article 011 - ASDF EDLIB Proceedings | Electronic Digital Library [Hardbook]. In D. James (Ed.), Global Perspectives in Interdisciplinary Research July 2026 (1st ed., Vol. 1, pp. 81-87). ASDF International. Retrieved July 30, 2026, from https://edlib.net/2026/gpir2026/gpirjuly2026011.html