Generalized ideal convergence in intuitionistic fuzzy normed linear spaces
Keyword(s):
An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. In [19], Kostyrko et al. introduced the concept of ideal convergence as a sequence (xk) of real numbers is said to be I-convergent to a real number e, if for each ? > 0 the set {k ? N : |xk - e| ? ?} belongs to I. The aim of this paper is to introduce and study the notion of ?-ideal convergence in intuitionistic fuzzy normed spaces as a variant of the notion of ideal convergence. Also I? -limit points and I?-cluster points have been defined and the relation between them has been established. Furthermore, Cauchy and I?-Cauchy sequences are introduced and studied. .
Keyword(s):
Keyword(s):
Keyword(s):
2014 ◽
Vol 8
(5)
◽
pp. 2307-2313
2010 ◽
Vol 59
(2)
◽
pp. 603-611
◽
2009 ◽
Vol 41
(5)
◽
pp. 2414-2421
◽
Keyword(s):