On σ-uniform density and ideal convergent sequences of fuzzy real 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. Tel.: +913602278512; Fax: +913602277881; 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 have introduced ideal convergent sequences of fuzzy real numbers using σ-uniform density. Furthermore, inclusion between Iσ-convergence and invariant convergence also Iσ-convergence and $[V_{\sigma}]^{F}_p$-convergence were given.

Keywords: Ideal, I-convergence, σ-uniform density, fuzzy numbers, strongly σ-convergence

DOI: 10.3233/IFS-130769

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 2, pp. 793-799, 2014