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Rough Ideal Convergence of Double Sequences of Fuzzy Numbers

Cilt: 2 Sayı: 1 31 Mayıs 2024
Funda Babaarslan *, Muhammed Emin Çayar
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EN

Rough Ideal Convergence of Double Sequences of Fuzzy Numbers

Öz

In this paper, we introduce the concepts of rough ideal convergence, rough ideal limit set and rough ideal Cauchy sequence for double sequences of fuzzy numbers. We establish some properties of this convergence and obtain relation between rough ideal limit set and extreme ideal limit points of such sequences. Next, we explore the relation between ideal convergence and its rough analogue. Finally, we examine the connections between the set of cluster points and rough ideal limit set within double sequences of fuzzy numbers.

Anahtar Kelimeler

Double sequence, Fuzzy numbers, Ideal convergence, Rough convergence

Kaynakça

  1. F. G. Akcay and S. Aytar, “Rough Convergence of a Sequence of Fuzzy Numbers,” Bull. Math. Anal. Appl., vol. 7, no. 4, pp. 17-23, 2015.
  2. F. Babaarslan and A. N. Tuncer, “Rough Convergence of Double Sequences of Fuzzy Numbers,” J. Appl. Anal. Comput., vol. 10, no. 4, pp. 1335-1342, 2020, doi: 10.11948/20190195.
  3. P. Das, P. Kostyrko, W. Wilczyński, and P. Malik, “I and I*-Convergence of Double Sequences,” Math. Slovaca, vol. 58, no. 5, pp. 605-620, Aug. 2008.
  4. K. Demirci, “I-Limit Superior and Limit Inferior,” Math. Commun., vol. 6, no. 2, pp. 165-172, 2001.
  5. E. Dündar, “On Rough I_2-Convergence of Double Sequences,” Numer. Funct. Anal. Optim., vol. 37, no. 4, pp. 480-491, 2016.
  6. E. Dündar and Ö. Talo, “I_2-Convergence of Double Sequences of Fuzzy Numbers,” Iran. J. Fuzzy Syst., vol. 10, no. 3, pp. 37-50, 2013.
  7. H. Fast, “Sur La Convergence Statistique,” Colloq. Math., vol. 2, no. 3-4, pp. 241-244, 1951.
  8. P. Kostyrko, T. Salát, and W. Wilczyński, “I-Convergence,” Real Anal. Exch., vol. 26, no. 2, pp. 669-686, 2000.
  9. V. Kumar and K. Kumar, “On the Ideal Convergence of Sequences of Fuzzy Numbers,” Inf. Sci., vol.178, no. 24, pp. 4670-4678, Dec. 2008.
  10. C. Kuratowski, Topologie I., Warszawa, 1958.

Kaynak Göster

APA
Babaarslan, F., & Çayar, M. E. (2024). Rough Ideal Convergence of Double Sequences of Fuzzy Numbers. Bozok Journal of Science, 2(1), 30-37. https://izlik.org/JA44CC28EP
AMA
1.Babaarslan F, Çayar ME. Rough Ideal Convergence of Double Sequences of Fuzzy Numbers. BJS. 2024;2(1):30-37. https://izlik.org/JA44CC28EP
Chicago
Babaarslan, Funda, ve Muhammed Emin Çayar. 2024. “Rough Ideal Convergence of Double Sequences of Fuzzy Numbers”. Bozok Journal of Science 2 (1): 30-37. https://izlik.org/JA44CC28EP.
EndNote
Babaarslan F, Çayar ME (01 Mayıs 2024) Rough Ideal Convergence of Double Sequences of Fuzzy Numbers. Bozok Journal of Science 2 1 30–37.
IEEE
[1]F. Babaarslan ve M. E. Çayar, “Rough Ideal Convergence of Double Sequences of Fuzzy Numbers”, BJS, c. 2, sy 1, ss. 30–37, May. 2024, [çevrimiçi]. Erişim adresi: https://izlik.org/JA44CC28EP
ISNAD
Babaarslan, Funda - Çayar, Muhammed Emin. “Rough Ideal Convergence of Double Sequences of Fuzzy Numbers”. Bozok Journal of Science 2/1 (01 Mayıs 2024): 30-37. https://izlik.org/JA44CC28EP.
JAMA
1.Babaarslan F, Çayar ME. Rough Ideal Convergence of Double Sequences of Fuzzy Numbers. BJS. 2024;2:30–37.
MLA
Babaarslan, Funda, ve Muhammed Emin Çayar. “Rough Ideal Convergence of Double Sequences of Fuzzy Numbers”. Bozok Journal of Science, c. 2, sy 1, Mayıs 2024, ss. 30-37, https://izlik.org/JA44CC28EP.
Vancouver
1.Funda Babaarslan, Muhammed Emin Çayar. Rough Ideal Convergence of Double Sequences of Fuzzy Numbers. BJS [Internet]. 01 Mayıs 2024;2(1):30-7. Erişim adresi: https://izlik.org/JA44CC28EP