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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 4

Topological structures in rough set theory: A survey

Pankaj Kumar Singh
Surabhi Tiwari
Pages
1270–1294
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This study highlights the interdependencies of topology and classical rough set theory and the significant work done in this area during the last twenty years.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Rough set theory provides a mathematical tool to study vague, imprecise, inconsistent and uncertain knowledge.
📊
Key Findings & Data:The topological notions are closely related to the notions and results of rough set theory, so the conjoint study of rough set theory and topology becomes essential.
💡
Conclusion & Impact:This study highlights the interdependencies of topology and classical rough set theory and the significant work done in this area during the last twenty years.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:rough sets · topological spaces · dynamical systems

Abstract

Rough set theory provides a mathematical tool to study vague, imprecise, inconsistent and uncertain knowledge. The topological notions are closely related to the notions and results of rough set theory, so the conjoint study of rough set theory and topology becomes essential. Researchers have widely discussed the topological aspects and their applications in rough set theory. This study highlights the interdependencies of topology and classical rough set theory and the significant work done in this area during the last twenty years.

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Cite This Article

Singh, P. K., Tiwari, S. (2022). Topological structures in rough set theory: A survey. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 4, 1270–1294. https://ajindex.com/articles/530039

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