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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 14 Issue: 1

Generalized Deferred Statistical Convergence in Credibility Spaces: New Perspectives in the Ideal Setting

Ömer Kişi(Bartın Üniversitesi)0000-0001-6844-3092
Rabia Savas(Istanbul Medeniyet University)0000-0002-4911-9067
Pages
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Publication Date
2026-04-30
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Additionally, we introduce the new concept of I-deferred statistically Cauchy sequences in credibility.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the concepts of I-deferred statistical convergence in credibility of fuzzy variable sequences are defined, and some inclusion relations between I-deferred statistical convergence in credibility and strongly I-deferred Cesàro summability in credibility of fuzzy variable sequences are explored.
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Key Findings & Data:We observe that in credibility spaces, a sequence is strongly I-deferred Cesàro summable in credibility if and only if the sequence is I-deferred statistically convergent in credibility.
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Conclusion & Impact:Additionally, we introduce the new concept of I-deferred statistically Cauchy sequences in credibility.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Credibility space · statistical convergence · ideal convergence

Abstract

In this paper, the concepts of I-deferred statistical convergence in credibility of fuzzy variable sequences are defined, and some inclusion relations between I-deferred statistical convergence in credibility and strongly I-deferred Cesàro summability in credibility of fuzzy variable sequences are explored. We observe that in credibility spaces, a sequence is strongly I-deferred Cesàro summable in credibility if and only if the sequence is I-deferred statistically convergent in credibility. Additionally, we introduce the new concept of I-deferred statistically Cauchy sequences in credibility.

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Cite This Article

Kişi, Ö., Savas, R. (2026). Generalized Deferred Statistical Convergence in Credibility Spaces: New Perspectives in the Ideal Setting. Konuralp Journal of Mathematics, Volume: 14 Issue: 1. https://ajindex.com/articles/1521433

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