On the resummation of series of fuzzy numbers via generalized Dirichlet and generalized factorial series

Yavuz E.

Journal of Intelligent and Fuzzy Systems, vol.37, no.6, pp.8199-8206, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 6
  • Publication Date: 2019
  • Doi Number: 10.3233/jifs-190632
  • Journal Name: Journal of Intelligent and Fuzzy Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.8199-8206
  • Keywords: series of fuzzy numbers, Tauberian theorems, fuzzy Fourier series
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

We introduce semicontinuous summation methods for series of fuzzy numbers and give Tauberian conditions under which summation of a series of fuzzy numbers via generalized Dirichlet series and via generalized factorial series implies its convergence. Besides, we define the concept of level Fourier series of fuzzy valued functions and obtain results concerning the summation of level Fourier series.