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

Article type: Research Article

Authors: Yavuz, Enes^{; *}

Affiliations: Department of Mathematics, Manisa Celal Bayar University, Manisa, Turkey

Correspondence: [*] Corresponding author. Enes Yavuz, Department of Mathematics, Manisa Celal Bayar University, Manisa, Turkey. E-mail: [email protected].

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.

Keywords: series of fuzzy numbers, Tauberian theorems, fuzzy Fourier series

Keywords: 03E72, 40A05, 40E05

DOI: 10.3233/JIFS-190632

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 6, pp. 8199-8206, 2019