Generalized Statistical Convergence for Uncertain Double Sequences of Fuzzy Numbers Defined by an Orlicz Function
Boletim da Sociedade Paranaense de Matematica, cilt.44, sa.7, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 7
- Basım Tarihi: 2026
- Doi Numarası: 10.5269/bspm.81540
- Dergi Adı: Boletim da Sociedade Paranaense de Matematica
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: double sequence, fuzzy number, ideal convergence, Orlicz function, statistical convergence, Uncertain sequence
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this study we propose the notion of I₂-statistical convergence for uncertain double sequences of fuzzy numbers defined by an Orlicz function. We investigate several associated convergence types such as convergence in measure, convergence in mean, convergence in distribution and uniformly almost sure convergence. Furthermore we present illustrative examples to clarify the connections and differences among these distinct convergence forms.