Some results on lacunary statistical convergence of order α in credibility space
Journal of Analysis, vol.31, no.4, pp.2835-2859, 2023 (ESCI, Scopus)
- 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.