Some completeness results in terms of infinite series and quotient spaces in intuitionistic fuzzy n-normed linear spaces

Article type: Research Article

Authors: Debnath, Pradip | Sen, Mausumi

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-mails: debnath.pradip@yahoo.com (Pradip Debnath); sen_mausumi@rediffmail.com (Mausumi Sen).

Abstract: In the present article our aim is to discuss some completeness results for intuitionistic fuzzy n-normed linear spaces. First we study completeness of the space in terms of summability of series. Next we introduce quotient spaces and establish relations between the completeness of the quotient space and the original space.

Keywords: Intuitionistic fuzzy n-normed linear space, absolutely summable series, quotient space

DOI: 10.3233/IFS-130788

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 2, pp. 975-982, 2014