Comparison theorems for summability methods of sequences of fuzzy numbers

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: enes.yavuz@cbu.edu.tr.

Abstract: In this study we compare Cesàro and Euler weighted mean methods of summability of sequences of fuzzy numbers with Abel and Borel power series methods of summability of sequences of fuzzy numbers. Also, some results dealing with series of fuzzy numbers are obtained.

Keywords: Fuzzy set theory, power series methods, inclusion theorems

Keywords: 03E72, 40G10, 40D25

DOI: 10.3233/JIFS-162050

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 651-658, 2018