TY - JOUR T1 - On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces AU - Kamber, Esra AU - Altundağ, Selma PY - 2021 DA - September Y2 - 2021 DO - 10.32323/ujma.977588 JF - Universal Journal of Mathematics and Applications JO - Univ. J. Math. Appl. PB - Emrah Evren KARA WT - DergiPark SN - 2619-9653 SP - 94 EP - 100 VL - 4 IS - 3 LA - en AB - In this paper, we introduce difference double sequence spaces ${I_{2} }^{(\mu,\upsilon)}(M,\Delta)$ and ${I_{2}^{0}}^{(\mu,\upsilon)}(M,\Delta)$ in the intuitionistic fuzzy normed linear spaces. We also investigate some topological properties of these spaces. KW - Ideal KW - filter KW - Ideal KW - filter KW - difference double sequence spaces KW - intuitionistic fuzzy normed space CR - Altunda\u{g}, S., Kamber, E., \textit{Weighted statistical convergence in intuitionistic fuzzy normed linear spaces}, J. Inequal. Spec. Funct., \textbf{8}, 113-124 (2017). CR - Altunda\u{g}, S., Kamber, E., \textit{Weighted lacunary statistical convergence in intuitionistic fuzzy normed linear spaces}, Gen. Math. Notes, \textbf{37}, 1-19 (2016). Altunda\u{g}, S., E. Kamber, Lacunary $\Delta$- statistical convergence in intuitionistic fuzzy $n$-normed linear spaces, Journal of inequalities and applications, \textbf{40}, 1-12 (2014). CR - Anastassiou, G.A., \emph{Fuzzy approximation by fuzzy convolution type operators}, Comput. Math. Appl., \textbf{48}, 1369-1386 (2004). CR - Barros, L.C., R.C. Bassanezi, P.A. Tonelli, \emph{Fuzzy modelling in population dynamics}, Ecol. Model., \textbf{128}, 27-33 (2000). CR - Das, P., Kostyrko, P., Wilczynski, W., Malik, P., $I$- and $I^{*}$- the convergence of double sequences, Math. Slovaca \textbf{58}, 605-620 (2008). CR - Erceg, M.A., \emph{Metric spaces in fuzzy set theory}, J. Math. Anal. Appl., \textbf{69}, 205-230 (1979). CR - Fast, H., \textit{Sur la convergence statistique}, Colloq. Math., \textbf{2}, 241-244 (1951). UR - https://doi.org/10.32323/ujma.977588 L1 - https://dergipark.org.tr/en/download/article-file/1904216 ER -