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

On Fibonacci Ideal Convergence of Double Sequences in Intuitionistic Fuzzy Normed Linear Spaces

Ömer kışı
Erhan Guler
Pages
46–55
Publication Date
2022-11-03
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

We define the Fibonacci I2-Cauchy sequences and the Fibonacci I2 completeness withrespect to an intuitionistic fuzzy normed linear space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this article is to introduce and study the notion of Fibonacci I2-convergence on intuitionisticfuzzy normed linear space.
📊
Key Findings & Data:The aim of this article is to introduce and study the notion of Fibonacci I2-convergence on intuitionisticfuzzy normed linear space.
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Conclusion & Impact:We define the Fibonacci I2-Cauchy sequences and the Fibonacci I2 completeness withrespect to an intuitionistic fuzzy normed linear space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The aim of this article is to introduce and study the notion of Fibonacci I2-convergence on intuitionisticfuzzy normed linear space. We define the Fibonacci I2-Cauchy sequences and the Fibonacci I2 completeness withrespect to an intuitionistic fuzzy normed linear space.

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Cite This Article

kışı, Ö., Guler, E. (2022). On Fibonacci Ideal Convergence of Double Sequences in Intuitionistic Fuzzy Normed Linear Spaces. Turkish Journal of Mathematics and Computer Science, Cilt: 11 - Sayı: -, 46–55. https://ajindex.com/articles/609133

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References (19)

  1. Anastassiou, G.A., Fuzzy approximation by fuzzy convolution type operators, Comput. Math. Appl., 48(2004), 1369–1386
  2. Arslan M., Dundar E., ¨ I-convergence and I-Cauchy sequence of functions in 2-normed spaces, Konuralp J. Math., 6:1(2018), 57–62 [3] Atanassov, K.T., Intuitionistic fuzzy sets, Fuzzy Sets Syst., 20(1986), 87–96
  3. Atanassov, K., Pasi, G., Yager, R., Intuitionistic fuzzy interpretations of multi-person multicriteria decision making, in: Proceedings of 2002 First International IEEE Symposium Intelligent Systems, 1(2002), 115-119
  4. Bakery, A.A., Operator ideal of Cesaro type sequence spaces involving lacunary sequence, Abst. Appl. Anal, 2014(2014), 6 pp., Article ID 419560,
  5. Bakery, A.A., Mohammed, M.M., On lacunary mean ideal convergence in generalized random n-normed spaces, Abstract Appl. Anal., 2014(2014), 11 pp., Article ID: 101782,
  6. Barros, L.C., Bassanezi, R.C., Tonelli, P.A., Fuzzy modelling in population dynamics, Ecol Model, 128(2000), 27–33
  7. Debnath, P., Lacunary ideal convergence in intuitionistic fuzzy normed linear spaces, Comput. Math. Appl., 63(2012), 708–715
  8. Dundar E., Altay B., ¨ I2-convergence and I2-Cauchy of double sequences, Acta Math. Sci., 34B(2)(2014), 343–353
  9. El Naschie, M.S., On the unification of heterotic strings, m-theory and ∞-theory, Chaos Solitons Fractals, 11(2000), 2397–2408
  10. Erceg, M.A., Metric spaces in fuzzy set theory, J. Math. Anal. Appl., 69(1979), 205–230
  11. Fast, H., Sur la convergence statistique, Colloq. Math., 2(1951), 241–244
  12. Fradkov, A.L., Evans, R.J., Control of chaos: methods and applications in engineering, Chaos Solitons Fractals, 29(1) (2005), 33–56
  13. Fridy, J.A., Orhan, C., Lacunary statistical convergence, Pacific J. Math., 160(1)(1993), 43–51
  14. Fridy, J.A., Orhan, C., Lacunary statistical summability, J. Math. Anal Appl., 173(1993), 497–504
  15. George, A., Veeramani P., On some results in fuzzy metric spaces, Fuzzy Sets Syst., 64(3)(1994), 395–399
  16. Giles, R., A computer program for fuzzy reasoning, Fuzzy Sets Syst., 4(1980), 221–234
  17. Goonatilake, S., Toward a Global Science, p. 126, Indiana University Press, (1998)
  18. Hazarika, B., Lacunary I-convergent sequence of fuzzy real numbers, Pacific J. Sci. Technol., 10(2)(2009), 203–206
  19. Hazarika, B., Fuzzy real valued lacunary I-convergent sequences, Appl. Math. Lett., 25(2012), 466–470. [21]