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Research articles

ScienceAsia 41(2015): 289-294 |doi: 10.2306/scienceasia1513-1874.2015.41.289

A generalized statistical convergence in intuitionistic fuzzy normed spaces

Ekrem Savaşa, Mehmet Gürdalb,*

ABSTRACT:     In this paper, we introduce the notion of ℐ-[V,λ]-summability and ℐ-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 ℐ-λ-statistical convergence and ℐ-statistical convergence in the corresponding intuitionistic fuzzy normed space.

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a Department of Mathematics, Istanbul Ticaret University, Üsküdar-Istanbul, Turkey
b Suleyman Demirel University, Department of Mathematics, 32260, Isparta, Turkey

* Corresponding author, E-mail: gurdalmehmet@sdu.edu.tr

Received 2 Feb 2015, Accepted 22 Jul 2015