A Framework for I*-Statistical Convergence of Fuzzy Numbers
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we investigate the concept of I*-statistical convergence for sequences of fuzzy numbers. We establish several theorems that provide a comprehensive understanding of this notion, including the uniqueness of limits, the relationship between I*-statistical convergence and classical convergence, and the algebraic properties of I*-statistically convergent sequences. We also introduce the concept of I*-statistical pre-Cauchy and I*-statistical Cauchy sequences and explore its connection to I*-statistical convergence. Our results show that every I*-statistically convergent sequence is I*-statistically pre-Cauchy, but the converse is not necessarily true. Furthermore, we provide a sufficient condition for an I*-statistically pre-Cauchy sequence to be I*-statistically convergent, which involves the concept of I*-lim in f.
Açıklama
Anahtar Kelimeler
I*-Statistical Convergence, I*-Statistical Cauchy Sequences, I*-Statistical Pre-Cauchy, I* - Lim Inf
Kaynak
Axioms
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
13
Sayı
9
