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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: [email protected] (Pradip Debnath); [email protected] (Mausumi Sen).
Abstract: In this article we study the topological structure of an intuitionistic fuzzy n-normed linear space (IFnNLS). We establish necessary and sufficient conditions for a sequence of functions having values in an IFnNLS to be uniformly convergent. Further, using the vector topological structure of the space, derivative and Riemann integration of a function having values in an IFnNLS are defined and basic results related to these concepts are studied.
Keywords: Intuitionistic fuzzy n-normed linear space, topological vector space, uniform convergence, differentiation, Riemann integration
DOI: 10.3233/IFS-130964
Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 6, pp. 2983-2991, 2014
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