Results on lacunary difference ideal convergence in intuitionistic fuzzy normed linear spaces

Article type: Research Article

Authors: Debnath, Pradip

Affiliations: Department of Mathematics, National Institute of Technology Silchar, Silchar, India

Note: [] Corresponding author. Pradip Debnath, Department of Mathematics, National Institute of Technology Silchar, Silchar 788010, India. Tel.: +91 9085 244601; Fax: +91 3842 233797; E-mail: debnath.pradip@yahoo.com

Abstract: The concept of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced by the present author [P. Debnath, Lacunary ideal convergence in intuitionistic fuzzy normed linear spaces, Comput. Math. Appl., 63 (2012), 708-715]. In the current paper, the notion of lacunary difference ideal convergence (LDIC) has been introduced. Some previous results have been improved and extended in this new setting and some new results are incorporated as well. An open problem, discussed in the above mentioned paper, has also been solved here.

Keywords: Intuitionistic fuzzy normed linear space, lacunary difference ideal convergence, lacunary difference convergence, Lacunary difference cauchy sequence

DOI: 10.3233/IFS-141415

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 3, pp. 1299-1306, 2015