On Statistical Convergence in Credibility Space


Savas E., KİŞİ Ö., GÜRDAL M.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2022 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1080/01630563.2022.2070205
  • Title of Journal : NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Keywords: Credibility measure, credibility theory, statistical convergence, FUZZY NUMBERS, SEQUENCES, SETS

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.