Some results of calculus for functions having values in an intuitionistic fuzzy n-normed linear space

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 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