Lacunary ideal convergent double 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. E-mail: bh_rgu@yahoo.co.in

Abstract: In this article, the concept of lacunary ideal convergent double sequences of fuzzy numbers have been introduced. Also the relation between lacunary ideal convergent and lacunary ideal Cauchy double sequences of fuzzy numbers have been established. Furthermore, the notions of lacunary ideal limit point and lacunary ideal cluster points have been introduced and find the relation between these two notions.

Keywords: I-convergence, double sequence, double lacunary sequence, fuzzy number, I-limit point, I-cluster point

DOI: 10.3233/IFS-131018

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 495-504, 2014