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Intuitionistic fuzzy I-convergent Fibonacci difference sequence spaces
(Springeropen, 2019) Khan, Vakeel A.; Kara, Emrah Evren; Altaf, Henna; Khan, Nazneen; Ahmad, Mobeen
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 (F) over cap and ideal convergence defined the notion of c(0)(I)((F) over cap), c(I)((F) over cap) and l(infinity)(I) ((F) over cap). In this paper, we give the ideal convergence of Fibonacci difference sequence space in intuitionistic fuzzy normed space with respect to fuzzy norm (mu, nu). Moreover, we investigate some basic properties of the said spaces such as linearity, hausdorffness.
Sequences of fuzzy star-shaped numbers
(Journal Mathematics & Computer Science-Jmcs, 2021) Khan, Vakeel A.; Kara, Emrah Evren; Tuba, Umme; Alshlool, Kamal M. A. S.; Ahmad, Ayaz
The concept of fuzzy star-shaped numbers was initially introduced by Diamond [P. Diamond, Fuzzy Sets and Systems, 37 (1990), 193-199]. In this paper, we define the concepts of convergent, Cauchy, and bounded sequences of fuzzy star-shaped numbers in R-n with respect to L-p-metric and study some properties of these new notions.