Geodesic
On strongly almost convergence of double sequences via complex uncertain variable
Problemy analiza, Tome 11 (2022) no. 1, pp. 102-121.

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The aim of this article is to introduce the characterization of strongly almost convergence in complex uncertain double sequences. We investigate the concept of strongly almost convergence almost surely, convergence in measure, convergence in mean, convergence in distribution, and convergence uniformly almost surely of complex uncertain double sequences. Finally, we present the interrelationships among those newly introduced notions.
Keywords: uncertainty space, complex uncertain double sequence, strongly almost convergence.
Mots-clés : uncertain variables 
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J. Nath; B. C. Tripathy; B. Bhattacharya. On strongly almost convergence of double sequences via complex uncertain variable. Problemy analiza, Tome 11 (2022) no. 1, pp. 102-121. http://geodesic.mathdoc.fr/item/PA_2022_11_1_a7/

[1] Bromwich T. J. I'A., An Introduction to the Theory of Infinite Series, MacMillan Co. Ltd, New York, 1965

[2] Chen X., Liu B., “Existence and uniqueness theorem for uncertain differential equations”, Fuzzy Optim. Decis. Mak., 9 (2010), 69–81

[3] Chen X., Ning Y., Wang X., “Convergence of complex uncertain sequences”, J. Intell. Fuzzy Syst., 30 (2016), 3357–3366

[4] Chen X., Ralescu D. A., “B-spline method of uncertain statistics with applications to estimate travel distance”, J. of Uncertain Syst., 6 (2012), 256–262

[5] Das B., Tripathy B. C., Debnath P., Bhattacharya B., “Characterization of statistical convergence of complex uncertain double sequence”, Anal. Math. Phy., 10 (2020), 1–20

[6] Das B., Tripathy B. C., Debnath P., Nath J., Bhattacharya B., “Almost Convergence of Complex Uncertain Triple Sequences”, Proc. Nat. Acad. Scie., India Section A: Phy. Scie., 2021 | DOI

[7] Hardy G. H., “On the convergence of certain multiple series”, Proc. Camb. Phil. Soc., 19 (1917), 86–95

[8] King J., “Almost summable sequences”, Proc. Amer. Math. Soc., 17 (1966), 1219–1225

[9] Liu B., “Uncertain entailment and modus ponens in the framework of uncertain logic”, J. of Uncertain Syst., 3 (2009), 243–251

[10] Liu B., “Uncertain set theory and uncertain inference rule with application to uncertain control”, J. of Uncertain Syst., 4 (2010), 83–98

[11] Liu B., “Uncertain logic for modelling human language”, J. of Uncertain Syst., 5 (2011), 3–20

[12] Liu B., Uncertainty Theory, 5th edition, Springer-Verlag, Berlin, 2016

[13] Lorentz G. G., “A contribution to the theory of divergent sequences”, Acta Math., 80 (1948), 167–190

[14] Maddox I., “On strong almost convergence”, Math. Proc. Camb. Phil. Soc., 85 (1979), 345–350

[15] Merriman M., “A set of necessary and sufficient conditions for the Cesàro summability of double series”, Annals Math., 29 (1928), 343–354

[16] Moricz F., Rhoades B. E., “Almost convergence of double sequences and strong regularity of summability matrices”, Math. Proc. Camb. Phil. Soc., 104 (1988), 283–294

[17] Mursaleen M., “Absolute almost convergent sequences”, Houston Jour. Math., 10 (1984), 427–431

[18] Nath J., Tripathy B. C., Debnath P., Bhattacharya B., “Strongly Almost Convergence in Sequences of Complex Uncertain Variables”, Comm. Statist. Theory Methods, 2021 | DOI

[19] Peng Z., Complex Uncertain variable, Doctoral Dissertation, Tsinghua University, 2012

[20] Prngsheim A., “Zur theorie der zweifach unendlichen Zahlenfolgen”, Math. Ann., 53 (1900), 289–321

[21] Savas E., “Strong almost convergence and almost $\lambda$-statistical convergence”, Hokkaido Math. Jour., 29 (2000), 531–536

[22] Tripathy B. C., “On Double Sequences”, Bullt. Marathwada Math. Soc., 20 (2019), 33–49

[23] Tripathy B. C., Datta D., “Convergence of complex uncertain double sequences”, New Math. Nat. Comp., 16 (2020), 447–459

[24] You C., “On the convergence of uncertain sequences”, Math. Comput. Modell., 49 (2009), 482–487