Some I-convergent multiplier double classes of sequences of fuzzy numbers defined by Orlicz functions

Article type: Research Article

Authors: Roy, S. | Sen, M.

Affiliations: Department of Mathematics, National Institute of Technology, Silchar, Assam, India

Note: [] Corresponding author. Santanu Roy, Department of Mathematics, National Institute of Technology, Silchar-788010, Assam, India. E-mail: [email protected]

Abstract: In this paper using ideal I and Orlicz function M together with a general multiplier double sequence Λ = (λnk), n, k ∈ N of non-zero real numbers, we introduce some new type of I-convergent fuzzy real-valued double sequence spaces. We have studied different topological properties of these sequence spaces. Also we have characterized the multiplier problem and some inclusion relations involving these classes of sequences are obtained. Further some equivalent statements involving these classes of sequences are established.

Keywords: Multiplier sequence spaces, Orlicz function, I-convergent, solid space, monotone, sequence algebra, convergence free

DOI: 10.3233/IFS-130832

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 1, pp. 431-437, 2014