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Journals / Konuralp Journal of Mathematics / 2020 / Cilt: 8 - Sayı: 1

On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions

Özer TALO
Enes YAVUZ
Hüsamettin ÇOŞKUN
Pages
62–69
Publication Date
2020-04-15
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

We introduce the notions of statistical limit, statistical Cesaro summability of strongly measurable fuzzy valued functions and give slowly decreasing-slowly oscillating type Tauberian conditions under which statistical limits and statistical Cesaro summability of fuzzy valued functions imply ordinary limits in fuzzy number space.

📌 3 Key Takeaways

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Objective & Hypothesis:We introduce the notions of statistical limit, statistical Cesaro summability of strongly measurable fuzzy valued functions and give slowly decreasing-slowly oscillating type Tauberian conditions under which statistical limits and statistical Cesaro summability of fuzzy valued functions imply ordinary limits in fuzzy number space.
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Key Findings & Data:We introduce the notions of statistical limit, statistical Cesaro summability of strongly measurable fuzzy valued functions and give slowly decreasing-slowly oscillating type Tauberian conditions under which statistical limits and statistical Cesaro summability of fuzzy valued functions imply ordinary limits in fuzzy number space.
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Conclusion & Impact:We introduce the notions of statistical limit, statistical Cesaro summability of strongly measurable fuzzy valued functions and give slowly decreasing-slowly oscillating type Tauberian conditions under which statistical limits and statistical Cesaro summability of fuzzy valued functions imply ordinary limits in fuzzy number space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:fuzzy set theory · statistical limits · Ces\`{a}ro summability

Abstract

We introduce the notions of statistical limit, statistical Cesaro summability of strongly measurable fuzzy valued functions and give slowly decreasing-slowly oscillating type Tauberian conditions under which statistical limits and statistical Cesaro summability of fuzzy valued functions imply ordinary limits in fuzzy number space.

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Cite This Article

TALO, Ö., YAVUZ, E., ÇOŞKUN, H. (2020). On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp Journal of Mathematics, Cilt: 8 - Sayı: 1, 62–69. https://ajindex.com/articles/786457

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