Matrix ideal convergence in intuitionistic fuzzy n-normed spaces

Bakery, Awad A.; Mohammed, Mustafa M.;

Abstract


An ideal I is a hereditary and additive family of subsets of positive integers N. Given an infinite matrix A = (ajk) of complex numbers tending to zero for all k. The motivation of this paper is to present a new and interesting notion of A-ideal convergence in the framework of intuitionistic fuzzy n-normed spaces as a variant of the notion of ideal convergence. We introduce IA-limit points and IA-cluster points. Furthermore, Cauchy and IA-Cauchy sequences in this framework are given and discuss the relationship between them.


Other data

Title Matrix ideal convergence in intuitionistic fuzzy n-normed spaces
Authors Bakery, Awad A. ; Mohammed, Mustafa M.
Keywords I -convergence A;Ideal convergence;Intuitionistic fuzzy n-normed space
Issue Date 1-Mar-2016
Journal Journal of Computational and Theoretical Nanoscience 
Volume 13
Issue 3
Start page 1602
End page 1608
ISSN 15461955
DOI 10.1166/jctn.2016.5086
Scopus ID 2-s2.0-84977264227

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