Intuitionistic fuzzy I-convergent Fibonacci difference sequence spaces

Autor: Vakeel A. Khan, Emrah E. Kara, Henna Altaf, Nazneen Khan, Mobeen Ahmad
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-7 (2019)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-019-2152-1
Popis: Abstract Fibonacci difference matrix was defined by Kara in his paper (Kara in J. Inequal. Appl. 2013:38 2013). Recently, Khan et al. (Adv. Differ. Equ. 2018:199, 2018) using the Fibonacci difference matrix F̂ and ideal convergence defined the notion of c0I(Fˆ) $c_{0}^{I}(\hat{F})$, cI(Fˆ) $c^{I}(\hat{F})$ and l∞I(Fˆ) $l_{\infty }^{I}(\hat{F})$. In this paper, we give the ideal convergence of Fibonacci difference sequence space in intuitionistic fuzzy normed space with respect to fuzzy norm (μ,ν) $(\mu ,\nu )$. Moreover, we investigate some basic properties of the said spaces such as linearity, hausdorffness.
Databáze: Directory of Open Access Journals
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