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Journals / Turkish Journal of Mathematics and Computer Science / 2019 / Cilt: 11 - Sayı: -

Deferred Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Normed Linear Spaces

Ömer KİŞİ
Erhan GÜLER
Pages
95–104
Publication Date
2022-11-03
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some special cases of theobtained results coincide with known results in literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the intuitionistic fuzzy deferred statistical convergence of double sequences in theintuitionistic fuzzy normed space is defined by considering deferred density given in 2016 by Kuc¸¨ ukaslan and M. ¨Yılmazturk.
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Key Findings & Data:Besides the main properties of this new method, it is compared with intuitionistic fuzzy statistical ¨convergence of double sequences and itself under different restrictions on the method.
💡
Conclusion & Impact:Some special cases of theobtained results coincide with known results in literature.
🔬Design:Research Article
📍Scope:2016 Verileri
⚙️Variables:Domain Parameters

Abstract

In this study, the intuitionistic fuzzy deferred statistical convergence of double sequences in theintuitionistic fuzzy normed space is defined by considering deferred density given in 2016 by Kuc¸¨ ukaslan and M. ¨Yılmazturk. Besides the main properties of this new method, it is compared with intuitionistic fuzzy statistical ¨convergence of double sequences and itself under different restrictions on the method. Some special cases of theobtained results coincide with known results in literature.

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Cite This Article

KİŞİ, Ö., GÜLER, E. (2022). Deferred Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Normed Linear Spaces. Turkish Journal of Mathematics and Computer Science, Cilt: 11 - Sayı: -, 95–104. https://ajindex.com/articles/609138

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References (20)

  1. Agnew, R.P., On deferred Cesaro mean, Comm. Ann. Math., 33(1932), 413–421
  2. Atanassov, K., Intuitionistic fuzzy sets, VII ITKR Session, Sofia, 20-23 June 1983, (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6
  3. Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Set Syst., 20(1986), 87–96
  4. Erceg, M.A., Metric spaces in Fuzzy set theory, J. Math. Anal. Appl., 69(1979), 205–230
  5. Fast, H., Sur la convergence statistique, Colloq. Math., 2(1951), 241–244
  6. Fradkov, A.L., Evans, R.J., Control of Chaos: Methods and applications in engineering, Chaos, Solitons Fractals, 29(2005), 33–56
  7. Fridy, J.A., On statistical convergence, Analysis, 5(1985), 301–313
  8. George, A., Veeramani, P., On some results in Fuzzy metric space, Fuzzy Set Syst., 64(1994), 395–399
  9. Hong, L., Sun, J.Q., Bifurcations of fuzzy nonlinear dynamical systems, Commun. Nonlinear Sci. Numer. Simul., 1(2006), 1–12
  10. Kaleva, O., Seikkala, S.,On Fuzzy metric spaces, Fuzzy Set Syst., 12(1984), 215–229
  11. Karakus, S., Demirci, K., Duman, O., Statistical convergence on intuitionistic fuzzyn normed spaces, Chaos Solitons Fractals, 35(2008), 763–769
  12. Küçükaslan M., Yilmaztürk, M., On deferred statistical convergence of sequences, Kyungpook Math. J., 56(2016), 357–366
  13. Kocinac, Lj.D.R., Rashid, M.H.M., On ideal convergence of double sequences in the topology induced by a fuzzy 2-norm, TWMS J. Pure Appl. Math., 8(1)(2017), 97–111
  14. Madore, J., Fuzzy physics, Ann. Phys., 219(1992), 187–198
  15. Maio, G. Di, Kocinac, Lj.D.R., Statistical convergence in topology, Topology Appl., 156(1)(2008), 28–45
  16. Melliani, S., Elomari, M., Chadli, L.S., Ettoussi, R., Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1)(2015) 43-53
  17. Melliani, S., Kuçükkaslan, M., Sadiki, H., Chadli, L.S., ¨ Deferred statistical convergence of sequences in intuitionistic fuzzy normed spaces, Notes on Intuitionistic Fuzzy Sets, 24(3)(2018), 64–78, DOI:n 10.7546/nifs.2018.24.3.64-78
  18. Mohiuddine, S.A., Mohiuddine, Q.M., Lahoni, D., On generalized statistical convergence in intuitionistic fuzzy normed spaces, Chaos, Solitons Fractals, 42(2009), 1731–1737
  19. Mursaleen, M., Mohiuddine, S.A., On lacunary statistical convergence with respect to the intuitionistic fuzzy normed spaces, J. Comput. appl. Math., 233(2009), 142–149
  20. Saadati, R., Park, J. H., On the int