On σ-bounded variation and ideal convergence of fuzzy sequences

Article type: Research Article

Authors: Hazarika, Bipan

Affiliations: Department of Mathematics, Rajiv Gandhi University, 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: An ideal I is a family of subsets of positive integers $\mathbb{N}$ which is closed under taking finite unions and subsets of its elements. In this paper we introduce ideal convergent sequence spaces of fuzzy numbers using σ-bounded variation and Orlicz functions and study some basic topological and algebraic properties of these spaces. Finally we investigate the inclusions relations related to these spaces.

Keywords: Ideal, I-convergence, σ-bounded variation, Orlicz function

DOI: 10.3233/IFS-141317

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 1, pp. 411-420, 2015