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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: [email protected].
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
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