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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 1

On some topological properties of intuitionistic $2$-fuzzy $n$-normed linear spaces

Ljubiša D. R. Kočinac(University of Niš)0000-0002-4870-7908
Vakeel Ahmad Khan(Aligarh Muslim University)0000-0002-4132-0954
K.m.a.s. Alshlool(Aligarh Muslim University)0000-0003-0029-2405
H. Altaf(Aligarh Muslim University)0000-0002-6120-0503
Pages
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Publication Date
2020-02-06
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⚡ TL;DR(Too Long; Didn't Read)

In addition, we discuss some basic properties of convergence and completeness for intuitionistic $2$-fuzzy $n$-normed spaces.

📌 3 Key Takeaways

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Objective & Hypothesis:Motivated by the notion of $n$-norm due to Gähler, in this article we define the concept of intuitionistic $2$-fuzzy $n$-normed space in general setting of $t$-norm as a generalization of intuitionistic fuzzy normed space in the sense of Bag and Samanta.
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Key Findings & Data:Further we define the notion of $\alpha$-$n$-norm corresponding to intuitionistic $2$-fuzzy $n$-norm.
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Conclusion & Impact:In addition, we discuss some basic properties of convergence and completeness for intuitionistic $2$-fuzzy $n$-normed spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:intuitionistic fuzzy set · fuzzy set · $2$-fuzzy $n$-normed space

Abstract

Motivated by the notion of $n$-norm due to Gähler, in this article we define the concept of intuitionistic $2$-fuzzy $n$-normed space in general setting of $t$-norm as a generalization of intuitionistic fuzzy normed space in the sense of Bag and Samanta. Further we define the notion of $\alpha$-$n$-norm corresponding to intuitionistic $2$-fuzzy $n$-norm. In addition, we discuss some basic properties of convergence and completeness for intuitionistic $2$-fuzzy $n$-normed spaces.

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Cite This Article

Kočinac, L. D. R., Khan, V. A., Alshlool, K., Altaf, H. (2020). On some topological properties of intuitionistic $2$-fuzzy $n$-normed linear spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 1. https://doi.org/10.15672/hujms.546973

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