Some results on lacunary statistical convergence of order α in credibility space

SAVAŞ E., Kişi Ö., GÜRDAL M.

Journal of Analysis, vol.31, no.4, pp.2835-2859, 2023 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.1007/s41478-023-00618-y
  • Journal Name: Journal of Analysis
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.2835-2859
  • Keywords: Cesàro-type summability, Credibility theory, Fuzzy variables, Lacunary sequence, Statistical convergence
  • Uşak University Affiliated: Yes

Abstract

In this manuscript, we introduce the concepts of strong Nθ(p) -summability of order α and lacunary statistical convergence of order α for fuzzy variables in credibility space. We examine important connections between these ideas. The circumstances of lacunary statistical convergence almost surely (a.s.) of order α , lacunary statistical convergence in credibility of order α , lacunary statistical convergence in mean of order α , lacunary statistical convergence in distribution of order α of fuzzy variable sequences are also investigated. We have established connections between these ideas.