References
[1]. Altay, B., & Başar, F. (2005). Some new spaces of double sequences. Journal of Mathematical Analysis and Applications, 309(1), 70-90. https://doi.org/10.1016/j.jmaa.2004.12.020
[2]. Altinok, H., Altin, Y., & Et, M. (2004). Lacunary almost statistical convergence of fuzzy numbers. Thai Journal of Mathematics, 2(2), 265-274.
[3]. Altinok, H., & Kasap, M. (2017). f-Statistical convergence of order β for sequences of fuzzy Numbers. Journal of Intelligent & Fuzzy Systems, 33(2), 705-712. https://doi.org/10.3233/JIFS-161654
[4]. Bag, T., & Samanta, S. K. (2008). Fixed point theorems in Felbin's type fuzzy normed linear spaces. Journal of Fuzzy Mathematics, 16(1), 243–260.
[5]. Çakan, C., & Altay, B. (2006). Statistically boundedness and statistical core of double sequences. Journal of Mathematical Analysis and Applications, 317(2), 690-697. https://doi.org/10.1016/j.jmaa.2005.06.006
[6]. Das, P., Kostyrko, P., Wilczyński, W., & Malik, P. (2008). I and I*-convergence of double sequences. Mathematica Slovaca, 58(5), 605-620. https://doi.org/10.2478/s12175-008-0096-x
[7]. Das, P., & Malik, P. (2008). On extremal I-limit points of double sequences. Tatra Mountains Mathematical Publications, 40, 91-102.
[8]. Diamond, P., & Kloeden, P. E. (1994). Metric spaces of fuzzy sets: Theory and applications. World Scientific.
[9]. Dündar, E., Ulusu, U., & Pancaroğlu, N. (2016). Strongly I2 -lacunary convergence and I2 -lacunary cauchy double sequences of sets. The Aligarh Bulletin of Mathematics, 35 (1-2), 1–15.
[10]. Dündar, E., & Talo, Ö. (2013). I2 -convergence of double sequences of fuzzy numbers. Iranian Journal of Fuzzy Systems,10(3), 37-50.
[11]. Dündar, E., & Talo, Ö. (2013). I2 -Cauchy double sequences of fuzzy numbers. Gen, 16(2), 103-114.
[12]. Fang, J. X., & Huang, H. (2004). On the level convergence of a sequence of fuzzy numbers. Fuzzy Sets and Systems, 147(3), 417-435. https://doi.org/10.1016/j.fss.2003.08.001
[13]. Fast, H. (1951). Sur la convergence statistique. In Colloquium Mathematicae (Vol. 2, No. 3-4, pp. 241-244).
[14]. Felbin, C. (1992). Finite dimensional fuzzy normed linear space. Fuzzy Sets and Systems, 48(2), 239-248. https://doi.org/10.1016/0165-0114(92)90338-5
[15]. Fridy, J. A. (1985). On statistical convergence. Analysis, 5(4), 301-314. https://doi.org/10.1524/anly.1985.5.4.301
[16]. Fridy, J. A. (1993). Statistical limit points. In Proceedings of the American Mathematical Society, 118(4), 1187-1192. https://doi.org/10.1090/S0002-9939-1993-1181163-6
[17]. Fridy, J. A., & Orhan, C. (1993). Lacunary statistical convergence. Pacific Journal of Mathematics, 160(1), 43-51.
[18]. Fridy, J., & Orhan, C. (1997). Statistical limit superior and limit inferior. In Proceedings of the American Mathematical Society, 125(12), 3625-3631. https://doi.org/10.1090/S0002-9939-97-04000-8
[19]. Hazarika, B. (2014). On ideal convergent sequences in fuzzy normed linear spaces. Afrika Matematika, 25(4), 987-999. https://doi.org/10.1007/s13370-013-0168-0
[20]. Kostyrko, P., Šalát,T., & Wilczyński, W. (2000). I-convergence, Real Anal. Exchange, 26(2), 669-686.
[21]. Kostyrko, P., Máčaj, M., Šalát, T., & Sleziak, M. (2005). I-convergence and extremal I-limit points. Mathematica Slovaca, 55(4), 443-464.
[22]. Kumar, V. (2007). On I and I*− convergence of double sequences. Mathematical Communications, 12(2), 171-181.
[23]. Kumar, V., & Kumar, K. (2008). On the ideal convergence of sequences of fuzzy numbers. Information Sciences, 178(24), 4670-4678. https://doi.org/10.1016/j.ins.2008.08.013
[24]. Matloka, M. (1986). Sequences of fuzzy numbers. Busefal, 28(1), 28-37.
[25]. Mizmoto, M., & Tanaka, K. (1979). Some properties of fuzzy numbers. In Advances in Fuzzy Sets Theory and Applications, North Holland, Amsterdam (pp. 153–164).
[26]. Mohiuddine, S. A., Şevli, H., & Cancan, M. (2012). Statistical convergence of double sequences in fuzzy normed spaces. Filomat, 26(4), 673-681.
[27]. Edely, O. H. (2003). Statistical convergence of double sequences. Journal of Mathematical Analysis and Applications, 288(1), 223-231. https://doi.org/10.1016/j.jmaa.2003.08.004
[28]. Nanda, S. (1989). On sequences of fuzzy numbers. Fuzzy Sets and systems, 33(1), 123-126.
[29]. Nuray, F., & Ruckle, W. H. (2000). Generalized statistical convergence and convergence free spaces. Journal of Mathematical Analysis and Applications, 245(2), 513-527. https://doi.org/10.1006/jmaa.2000.6778
[30]. Nuray, F. (1998). Lacunary statistical convergence of sequences of fuzzy numbers. Fuzzy Sets and Systems, 99(3), 353- 355. https://doi.org/10.1016/S0165-0114(98)00031-1
[31]. Nuray, F., & Savaş, E. (1995). Statistical convergence of sequences of fuzzy numbers. Mathematica Slovaca, 45(3), 269-273.
[32]. Nuray, F., Ulusu, U., & Dündar, E. (2016). Lacunary statistical convergence of double sequences of sets. Soft Computing, 20(7), 2883-2888. https://doi.org/10.1007/s00500-015-1691-8
[33]. Pringsheim, A. (1900). Zur theorie der zweifach unendlichen Zahlenfolgen. Mathematische Annalen, 53(3), 289-321. https://doi.org/10.1007/BF01448977
[34]. Rath, D., & Tripathy, B. C. (1994). On statistically convergent and statistically Cauchy sequences. Indian Journal of Pure and Applied Mathematics, 25, 381-381.
[35]. Saadati, R. (2008). On the I-fuzzy topological spaces. Chaos, Solitons and Fractals, 37(5), 1419–1426. https://doi.org/10.1016/j.chaos.2006.10.033
[36]. Šalát, T. (1980). On statistically convergent sequences of real numbers. Mathematica Slovaca, 30(2), 139-150.
[37]. Šalát, T., Tripathy, B. C., & Ziman, M. (2005). On I-convergence field. Ital. J. Pure Appl. Math, 17(5), 1-8.
[38]. Savaş, E. (2001). On statistically convergent sequences of fuzzy numbers. Information Sciences, 137(1-4), 277-282. https://doi.org/10.1016/S0020-0255(01)00110-4
[39]. Savaş, E. (2004). On statistically convergent double sequences of fuzzy numbers. Information Sciences, 162(3-4), 183- 192. https://doi.org/10.1016/j.ins.2003.09.005
[40]. Savaş, E. (2017). On I-lacunary statistical convergence of weight g of fuzzy numbers. Journal of Intelligent & Fuzzy Systems, 32(1), 1111-1117. https://doi.org/10.3233/JIFS-16292
[41]. Savaş, E. (2018). On lacunary p-summable convergence of weight g for fuzzy numbers via ideal. Journal of Intelligent & Fuzzy Systems, 34(4), 2121-2127. https://doi.org/10.3233/JIFS-17048
[42]. Şençimen, C., & Pehlivan, S. (2008). Statistical convergence in fuzzy normed linear spaces. Fuzzy Sets and Systems, 159(3), 361-370. https://doi.org/10.1016/j.fss.2007.06.008
[43]. Schoenberg, I. J. (1959). The integrability of certain functions and related summability methods. The American Mathematical Monthly 66(5), 361-775. https://doi.org/10.1080/00029890.1959.11989303
[44]. Talo, Ö., & Başar, F. (2009). Determination of the duals of classical sets of sequences of fuzzy numbers and related matrix transformations. Computers & Mathematics with Applications, 58(4), 717-733. https://doi.org/10.1016/j.camwa. 2009.05.002
[45]. Tripathy, B. & Tripathy, B. C. (2005). On I-convergent double sequences. Soochow Journal of Mathematıcs, 31(4), 549- 560.
[46]. Türkmen, M. R., & Çınar, M. (2017). Lacunary statistical convergence in fuzzy normed linear spaces. Applied and Computational Mathematics, 6(5), 233-237. https://doi.org/10.11648/j.acm.20170605.13
[47]. Türkmen, M. R., & Çınar, M. (2018). l-statistical convergence in fuzzy normed linear spaces. Journal of Intelligent & Fuzzy Systems, 34(6), 4023-4030. https://doi.org/10.3233/JIFS-171147
[48]. Türkmen, M. R., & Efe, H. (2013). On some properties of closability of farthest point maps in fuzzy n-Normed spaces. imanager's Journal on Mathematics, 2(4), 33-38. https://doi.org/10.26634/jmat.2.4.2613
[49]. Türkmen, M. R., & Dündar, E. (2019). On lacunary statistical convergence of double sequences and some properties in fuzzy normed spaces. Journal of Intelligent & Fuzzy Systems, 36(2), 1683-1690. https://doi.org/10.3233/JIFS-18841
[50]. L. A. Zadeh. (1965). Fuzzy sets. Information and Control, 8, 338–353.
