Certain aspects of deferred statistical convergence of fuzzy variables in credibility space
Journal of Analysis, cilt.32, sa.4, ss.2057-2075, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 32 Sayı: 4
- Basım Tarihi: 2024
- Doi Numarası: 10.1007/s41478-023-00583-6
- Dergi Adı: Journal of Analysis
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.2057-2075
- Anahtar Kelimeler: 03E72, 40A05, 40A35, Credibility measure, Deferred statistical convergence, Fuzzy variable sequence
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this research, we investigate multiple conceptions of convergence and deferred statistical convergence of order β,0<β≤1 for fuzzy variable sequences within framework credibility theory. The idea of deferred statistical convergence of order β for fuzzy variable sequences such as the notions of convergence in credibility, convergence in mean, convergence in distribution, and convergence uniformly practically surely via deferred Cesàro mean. We look at the relationships between these ideas. For fuzzy variable sequences, some results on deferred statistical convergence order β,0<β≤1 are developed.