On Statistical Convergence in Credibility Space

Savas E., KİŞİ Ö., GÜRDAL M.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, vol.43, pp.987-1008, 2022 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 43
  • Publication Date: 2022
  • Doi Number: 10.1080/01630563.2022.2070205
  • Journal Name: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Journal Indexes: 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
  • Page Numbers: pp.987-1008
  • Keywords: Credibility measure, credibility theory, statistical convergence, FUZZY NUMBERS, SEQUENCES, SETS
  • Süleyman Demirel University Affiliated: Yes

Abstract

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.