Characterization of matrix classes involving some sets of summable double sequences of fuzzy numbers

Article type: Research Article

Authors: Dutta, Hemen^{; *} | Gogoi, Jyotishmaan

Affiliations: Department of Mathematics, Gauhati University, Guwahati, Assam, India

Correspondence: [*] Corresponding author. Hemen Dutta, Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India. E-mail: duttah@gauhati.ac.in.

Abstract: In this paper, we first study the notion of almost convergence of double sequences of fuzzy numbers using the idea of Pringsheim’s convergence and compare with the set of bounded double sequences of fuzzy numbers. The primary aim is to characterize matrix classes involving some sets of double sequences of fuzzy numbers and also the set of almost convergent double sequence of fuzzy numbers. The approach adopted in the investigation of main results should be helpful to develop theories to deal with fuzzification of summability theory and its applications.

Keywords: Double sequences of fuzzy numbers, Pringsheim’s convergence and almost convergence, algebraic duals, four-dimensional infinite matrix of fuzzy numbers, matrix transformations

DOI: 10.3233/JIFS-17629

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 6, pp. 4279-4290, 2018