Lacunary difference ideal convergent sequence spaces of fuzzy numbers

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 Orlicz function M and the difference operator of order n ≥ 1, we introduce the spaces of lacunary ideal convergent difference sequences and lacunary strongly summable difference sequences of fuzzy numbers via fuzzy metric. We also established some relations related to these spaces. Further, we study some basic topological properties of these spaces.

Keywords: Fuzzy number, fuzzy metric, ideal, ideal-convergent, difference sequence, lacunary sequence

DOI: 10.3233/IFS-2012-0622

Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 1, pp. 157-166, 2013