2015
DOI: 10.2306/scienceasia1513-1874.2015.41.289
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A generalized statistical convergence in intuitionistic fuzzy normed spaces

Abstract: ABSTRACT:In this paper, we introduce the notion of -[V, λ]-summability and -λ-statistical convergence with respect to the intuitionistic fuzzy norm (µ, v), investigate their relationship, and make some observations about these classes. We mainly examine the relation between these two new methods and the relation between -λ-statistical convergence and -statistical convergence in the corresponding intuitionistic fuzzy normed space.

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Cited by 41 publications
(26 citation statements)
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“…Pointwise statistical convergence sequences of fuzzy mappings studied by Altin et al [17]. Some beneficial results on this topic can be found in [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32].…”
Section: Introductionmentioning
confidence: 99%
“…Pointwise statistical convergence sequences of fuzzy mappings studied by Altin et al [17]. Some beneficial results on this topic can be found in [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32].…”
Section: Introductionmentioning
confidence: 99%
“…Fridy and Orhan defined the concept of lacunary statistical convergence [7]. Various applications of this concept can be found in [3,6,10,16,20,21,22,23,24,27,28,29,30,32,33].…”
Section: Introductionmentioning
confidence: 99%
“…Later, the notion related to this concept was presented by Fridy [10], namely statistically Cauchy sequence; in addition, he also examined that both concepts are equivalent. Since then, applications of statistical convergence in different fields have been studied (see [16,29,36,38,39]).…”
Section: Introductionmentioning
confidence: 99%