Statistical harmonic summability of sequences of fuzzy numbers


SOFT COMPUTING, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2020
  • Doi Number: 10.1007/s00500-020-05151-9
  • Title of Journal : SOFT COMPUTING
  • Keywords: Sequences of fuzzy numbers, Statistical convergence, Statistical summability, Tauberian theorems, TAUBERIAN-THEOREMS, CONVERGENCE


In this paper, we extend the concept of statistical harmonic summability from real sequences to fuzzy sequences. We show that if a sequence of fuzzy numbers is bounded and statistically convergent, then it is statistically harmonic summable to same fuzzy number, but not conversely. Our main aim is to establish necessary and sufficient conditions under which statistical convergence follows from statistical harmonic summability.