On Statistical Convergence in Credibility Space

SAVAŞ E., Kişi Ö., GÜRDAL M.

Numerical Functional Analysis and Optimization, cilt.43, sa.8, ss.987-1008, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 8
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/01630563.2022.2070205
  • Dergi Adı: Numerical Functional Analysis and Optimization
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.987-1008
  • Anahtar Kelimeler: Credibility measure, credibility theory, statistical convergence
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we present the notions of statistically convergent sequence for fuzzy variables, statistically Cauchy sequence in credibility space, and present a kind of statistical completeness for credibility space. Furthermore, the conditions of statistical convergence almost surely (a.s.), statistical convergence in credibility, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely (u.a.s.) of fuzzy variable sequences are examined. We have proved relations between these notions.