On Nörlund I₂-lacunary statistical convergence of double sequences in intuitionistic fuzzy normed spaces
Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 1, pp. 41-58
Ömer Kişi; Mehmet Gürdal; Chiranjib Choudhury; Ömer Kişi; Mehmet Gürdal; Chiranjib Choudhury. On Nörlund I₂-lacunary statistical convergence of double sequences in intuitionistic fuzzy normed spaces. Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 1, pp. 41-58. http://geodesic.mathdoc.fr/item/AMUC_2024_93_1_a3/
@article{AMUC_2024_93_1_a3,
     author = {\"Omer Ki\c{s}i and Mehmet G\"urdal and Chiranjib Choudhury and \"Omer Ki\c{s}i and Mehmet G\"urdal and Chiranjib Choudhury},
     title = { On {N\"orlund} {I₂-lacunary} statistical convergence of double sequences in intuitionistic fuzzy normed spaces},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {41--58},
     year = {2024},
     volume = {93},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2024_93_1_a3/}
}
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Investigating the concepts of Nörlund I2-lacunary statistical convergence and extremely intuitionistic Nörlund I2-lacunary convergence of double sequence in intuitionistic fuzzy normed spaces (IFNS) is the goal of this article. Then, we introduce the concepts of Nörlund strongly I2^{∗}-lacunary convergence, Nörlund strongly I2-lacunary Cauchy, and Nörlund strongly I2^{∗}-lacunary Cauchy double sequences in IFNS and get astounding results.