Tauberian theorems for statistical summability methods of sequences of fuzzy numbers

YAVUZ E.

SOFT COMPUTING, vol.23, no.14, pp.5659-5665, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 14
  • Publication Date: 2019
  • Doi Number: 10.1007/s00500-018-3222-x
  • Journal Name: SOFT COMPUTING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5659-5665
  • Keywords: Sequences of fuzzy numbers, Statistical convergence, Tauberian theorems
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

We give Tauberian conditions of slow decrease type under which statistical Cesàro summability and statistical logarithmic summability of sequences of fuzzy numbers imply convergence in fuzzy number space. Besides, we obtain a sufficient condition for statistically convergent sequences of fuzzy numbers to converge in the ordinary sense.