On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces

Esra Kamber; Selma Altundağ

doi:10.32323/ujma.977588

Research Article

On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces

Year 2021, Volume: 4 Issue: 3, 94 - 100, 30.09.2021

Esra Kamber , Selma Altundağ

https://doi.org/10.32323/ujma.977588

Abstract

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.

Keywords

Ideal , filter , Ideal, filter , difference double sequence spaces , intuitionistic fuzzy normed space

References

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).
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).
Anastassiou, G.A., \emph{Fuzzy approximation by fuzzy convolution type operators}, Comput. Math. Appl., \textbf{48}, 1369-1386 (2004).
Barros, L.C., R.C. Bassanezi, P.A. Tonelli, \emph{Fuzzy modelling in population dynamics}, Ecol. Model., \textbf{128}, 27-33 (2000).
Das, P., Kostyrko, P., Wilczynski, W., Malik, P., $I$- and $I^{*}$- the convergence of double sequences, Math. Slovaca \textbf{58}, 605-620 (2008).
Erceg, M.A., \emph{Metric spaces in fuzzy set theory}, J. Math. Anal. Appl., \textbf{69}, 205-230 (1979).
Fast, H., \textit{Sur la convergence statistique}, Colloq. Math., \textbf{2}, 241-244 (1951).

Year 2021, Volume: 4 Issue: 3, 94 - 100, 30.09.2021

Esra Kamber , Selma Altundağ

https://doi.org/10.32323/ujma.977588

Abstract

References

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).
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).
Anastassiou, G.A., \emph{Fuzzy approximation by fuzzy convolution type operators}, Comput. Math. Appl., \textbf{48}, 1369-1386 (2004).
Barros, L.C., R.C. Bassanezi, P.A. Tonelli, \emph{Fuzzy modelling in population dynamics}, Ecol. Model., \textbf{128}, 27-33 (2000).
Das, P., Kostyrko, P., Wilczynski, W., Malik, P., $I$- and $I^{*}$- the convergence of double sequences, Math. Slovaca \textbf{58}, 605-620 (2008).
Erceg, M.A., \emph{Metric spaces in fuzzy set theory}, J. Math. Anal. Appl., \textbf{69}, 205-230 (1979).
Fast, H., \textit{Sur la convergence statistique}, Colloq. Math., \textbf{2}, 241-244 (1951).

There are 7 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Esra Kamber 0000-0002-8833-3381 Selma Altundağ
Submission Date	August 2, 2021
Acceptance Date	October 1, 2021
Publication Date	September 30, 2021
Published in Issue	Year 2021 Volume: 4 Issue: 3

Cite

APA	Kamber, E., & Altundağ, S. (2021). On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces. Universal Journal of Mathematics and Applications, 4(3), 94-100. https://doi.org/10.32323/ujma.977588
AMA	Kamber E, Altundağ S. On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces. Univ. J. Math. Appl. September 2021;4(3):94-100. doi:10.32323/ujma.977588
Chicago	Kamber, Esra, and Selma Altundağ. “On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces”. Universal Journal of Mathematics and Applications 4, no. 3 (September 2021): 94-100. https://doi.org/10.32323/ujma.977588.
EndNote	Kamber E, Altundağ S (September 1, 2021) On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces. Universal Journal of Mathematics and Applications 4 3 94–100.
IEEE	E. Kamber and S. Altundağ, “On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces”, Univ. J. Math. Appl., vol. 4, no. 3, pp. 94–100, 2021, doi: 10.32323/ujma.977588.
ISNAD	Kamber, Esra - Altundağ, Selma. “On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces”. Universal Journal of Mathematics and Applications 4/3 (September2021), 94-100. https://doi.org/10.32323/ujma.977588.
JAMA	Kamber E, Altundağ S. On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces. Univ. J. Math. Appl. 2021;4:94–100.
MLA	Kamber, Esra and Selma Altundağ. “On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces”. Universal Journal of Mathematics and Applications, vol. 4, no. 3, 2021, pp. 94-100, doi:10.32323/ujma.977588.
Vancouver	Kamber E, Altundağ S. On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces. Univ. J. Math. Appl. 2021;4(3):94-100.