Generalized Convergence of Sequences of Fuzzy Numbers by Means of Modulus Functions

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Ibrahim I. S., Baleanu D., Yousif M. A., Mohammed P. O., Abdeljawad T.

Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria, cilt.41, sa.4, 2025 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 41 Sayı: 4
• Basım Tarihi: 2025
• Doi Numarası: 10.23967/j.rimni.2025.10.69171
• Dergi Adı: Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals, DIALNET
• Anahtar Kelimeler: Fuzzy numbers, modulus functions, αβ−statistical convergence, αβ−strong summability
• İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this paper, we extend the concepts of statistical convergence and strong summability for the sequences of fuzzy numbers using modulus functions. By introducing appropriate conditions on the modulus functions, we generalize and refine existing notions of convergence within the fuzzy setting. Additionally, we establish several interrelationships between these extended concepts, thereby contributing to the deeper understanding of summability and convergence behavior in the sequences of fuzzy numbers.