ON QUASI STATISTICAL CONVERGENCE OF FUZZY VARIABLE SEQUENCES

Demirci I. A., Kişi Ö., GÜRDAL M.

Bulletin of Mathematical Analysis and Applications, vol.14, no.4, pp.11-27, 2022 (Scopus)

  • Publication Type: Article / Article
  • Volume: 14 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.54671/bmaa-2022-4-2
  • Journal Name: Bulletin of Mathematical Analysis and Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.11-27
  • Keywords: Credibility space, fuzzy variable sequence, quasi statistical convergence, quasi-density
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this paper, we introduce and investigate the notion of quasi statistical convergence of fuzzy variable sequences in credibility space. We also establish the relationship of the notion with statistical convergence of fuzzy variable sequences. In addition, we examine some interrelationships between quasi statistical convergence almost surely, quasi statistical convergence in measure, quasi statistical convergence in mean, and quasi statistical convergence in distribution.