Journals / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 2

Base and subbase in intuitionistic I-fuzzy topological space

Pages
231–247
Publication Date
2014-04-01
DOI
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AI Summary & Key Takeaways

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

Finally, the relation between the generated product intuitionistic Ifuzzy topological spaces and the product generated intuitionistic Ifuzzy topological spaces are studied.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the concepts of the base and subbase in intuitionistic Ifuzzy topological spaces are introduced, and use them to discuss fuzzy continuous mapping and fuzzy open mapping.
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Key Findings & Data:We also study the base and subbase in the product of intuitionistic I-fuzzy topological spaces, and T2 separation in product intuitionistic I-fuzzy topological spaces.
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Conclusion & Impact:Finally, the relation between the generated product intuitionistic Ifuzzy topological spaces and the product generated intuitionistic Ifuzzy topological spaces are studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Intuitionistic I-fuzzy topological space · Base · Subbase

Abstract

In this paper, the concepts of the base and subbase in intuitionistic Ifuzzy topological spaces are introduced, and use them to discuss fuzzy continuous mapping and fuzzy open mapping. We also study the base and subbase in the product of intuitionistic I-fuzzy topological spaces, and T2 separation in product intuitionistic I-fuzzy topological spaces. Finally, the relation between the generated product intuitionistic Ifuzzy topological spaces and the product generated intuitionistic Ifuzzy topological spaces are studied.

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Cite This Article

LİANG, C., YAN, C. (2014). Base and subbase in intuitionistic I-fuzzy topological space. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 2, 231–247. https://ajindex.com/articles/669579

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