Statistical harmonic summability of sequences of fuzzy numbers


SEZER S. A.

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

Abstract

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.