On fuzzy real valued generalized difference I-convergent sequence spaces defined by Musielak-Orlicz function

Article type: Research Article

Authors: Hazarika, Bipan

Affiliations: Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, India

Note: [] Corresponding author. Bipan Hazarika, Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791112. Arunachal Pradesh, India. E-mail: bh_rgu@yahoo.co.in

Abstract: In this article, using the Musielak-Orlicz function $\mathbf{M}$ and the difference operator, we introduce the spaces of I-convergent generalized difference sequences of fuzzy numbers. We prove the completeness of these spaces. Further, we investigate some inclusion relations related to these spaces.

Keywords: Ideal, I-convergent, difference sequence, fuzzy number, Musielak-Orlicz function

DOI: 10.3233/IFS-2012-0609

Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 1, pp. 9-15, 2013