Exploring the Potential of Neutrosophic Topological Spaces in Computer Science

A. A. Salama, Department of Math and Computer Science, Faculty of Science, Port Said University, EgyptFollow
Huda E. Khalid, Telafer University, the Administration Assistant for the President of the Telafer University, Telafer, IraqFollow
Ahmed K. Essa, Telafer University, Statistics Division, Telafer, Mosul, IraqFollow
Ahmed G. Mabrouk, Department of Computer Science, High Institute of Computers and Information Systems, Giza, EgyptFollow

ORCID

A. A. Salama: 0000-0003-2300-615X

Huda E. Khalid: 0000-0002-6599-120X

Ahmed K. Essa: 0000-0001-6153-9964

Ahmed G. Mabrouk: 0000-0002-4220-5341

Article Type

Research Article

Abstract

Neutrosophic topological spaces (NTS) offer a novel framework for uncertainty modeling by incorporating degrees of truth, indeterminacy, and falsity. This paper investigates the potential applications of NTS in computer science. We provide background on neutrosophic sets and their extension to topological spaces. We then explore how NTS could be used for uncertainty modeling in data analysis (e.g., handling noisy data in sensor networks), pattern recognition (e.g., improving image classification with imprecise features), and information retrieval (e.g., enhancing search results by considering relevance uncertainty). We discuss the challenges associated with applying NTS and highlight promising areas for future research, such as developing efficient algorithms for NTS operations. Overall, this paper aims to stimulate further exploration of how neutrosophic topological spaces can contribute to advancements in various computer science domains.

Keywords

Neutrosophic Sets, Topological Space, Uncertainty Modeling, Computer Science, Data Analysis, pattern recognition, Information Retrieval

How to Cite

Salama, A. A.; Khalid, Huda E.; Essa, Ahmed K.; and Mabrouk, Ahmed G. (2024) "Exploring the Potential of Neutrosophic Topological Spaces in Computer Science," Neutrosophic Systems with Applications: Vol. 21: Iss. 1, Article 5. DOI: https://doi.org/10.61356/j.nswa.2024.21366