Rough Convergence of Sequences of Fuzzy Numbers with Respect to the Sendograph Metric
Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2026
- Doi Number: 10.1007/s40010-026-01149-4
- Journal Name: Proceedings of the National Academy of Sciences India Section A - Physical Sciences
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, INSPEC, MathSciNet, zbMATH, Technology Collection (ProQuest)
- Keywords: Rough convergence, Rough limit set, Sendograph metric, Sequences of fuzzy numbers
- Süleyman Demirel University Affiliated: Yes
Abstract
In this paper, we introduce the rough convergence of sequences of fuzzy numbers with respect to the sendograph metric. We investigate the algebraic behaviour of the rough convergence with respect to the sendograph metric under the linear operations on the family of fuzzy numbers. In the sequel, we examine some properties of the sendograph limit set of a sequence of fuzzy numbers.