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

Authors:
Pradip Debnath;Mausumi Sen
Affiliations:
Department of Mathematics, National Institute of Technology Silchar, Silchar, India;Department of Mathematics, National Institute of Technology Silchar, Silchar, India
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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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.