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Journals / Contemporary Analysis and Applied Mathematics / 2013 / Cilt: 1 - Sayı: 2

Bazı fuzzy değerli seviye dizi kümeleri

On some sets of fuzzy-valued sequences with the level sets

Feyzi BAŞAR
Uğur KADAK
Pages
70–90
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

Finally, we obtain the alpha-, beta- and gamma-duals of the sets of sequences of fuzzy numbers with respect to the level sets.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the sets of bounded, convergent and null series and the set of sequences of bounded variation of fuzzy numbers with the level sets.
📊
Key Findings & Data:We investigate the relationships between these sets and their classical forms and give some properties including definitions, lemmas and various kind of fuzzy metric spaces.
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Conclusion & Impact:Finally, we obtain the alpha-, beta- and gamma-duals of the sets of sequences of fuzzy numbers with respect to the level sets.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we introduce the sets of bounded, convergent and null series and the set of sequences of bounded variation of fuzzy numbers with the level sets. We investigate the relationships between these sets and their classical forms and give some properties including definitions, lemmas and various kind of fuzzy metric spaces. Furthermore, we study some of their properties like completeness, duality and present some illustrative examples related to these sets. Finally, we obtain the alpha-, beta- and gamma-duals of the sets of sequences of fuzzy numbers with respect to the level sets.

Özet

Bu çalışmada fuzzy sayılarının sınırlı, yakınsak ve 0a yakınsak seri uzayları ile sınırlı salınımlı dizi uzayları, seviye cümleleri kullanılarak elde edilmiştir. Bu uzaylar ve bunların klasik formları arasındaki ilişkiler incelenerek, fuzzy metrik uzayların çeşitli türleri, tanımlar ve önermeler içeren bazı özellikler verilmiştir. Ayrıca bu uzayların tamlık ve duallik özellikleri araştırılarak açıklayıcı bazı örnekler sunulmuştur. Son kısımda, fuzzy seviye dizi cümlelerinin alpha-,beta- ve gamma-dualleri elde edilmiştir.

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Cite This Article

BAŞAR, F., KADAK, U. (2022). Bazı fuzzy değerli seviye dizi kümeleri. Contemporary Analysis and Applied Mathematics, Cilt: 1 - Sayı: 2, 70–90. https://ajindex.com/articles/476503

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