Neutrosophic Fuzzy Tribonacci ℐ-Lacunary Statistical Convergent Sequence Spaces

[1] ATANASSOV, K. T.: Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), no. 1, 87–96. Search in Google Scholar

[2] DEBNATH, P.: Lacunary ideal convergence in intuitionistic fuzzy normed linear spaces, Comput. Math. Appl. 63 (2012), no. 3, 708–715. Search in Google Scholar

[3] FAST, H.: Sur la convergence statistique, Colloq. Math. 2 (1952), 241–244. Search in Google Scholar

[4] FEINBERG, M.: Fibonacci-tribonacci, Fibonacci Quart. 1 (1963), 71–74. Search in Google Scholar

[5] FRIDY, J. A.—ORHAN, C.: Lacunary statistical convergence, Pacific J. Math. 160 (1993), no. 1, 43–51. Search in Google Scholar

[6] GEORGE, A.—VEERAMANI, P.: On some results of analysis for fuzzy metric spaces, Fuzzy Sets and Systems. 90 (1997), no. 3, 365–368. Search in Google Scholar

[7] GÜRDAL, M.—ŞAHINER, A.: Extremal ℐ-limit points of double sequences, Appl. Math. E-Notes 8 (2008), 131–137. Search in Google Scholar

[8] KADAK, U.—MOHIUDDINE, S. A.: Generalized statistically almost convergence based on the difference operator which includes the (p,q)-Gamma function and related approximation theorems,Results Math. 73 (2018), no. 1, Paper no. 9, 31 pp. Search in Google Scholar

[9] KALEVA, O.—SEIKKALA, S.: On fuzzy metric spaces, Fuzzy Sets and Systems. 12 (1984), no. 3, 215–229. Search in Google Scholar

[10] KARAKUS, S.—DEMIRCI, K.—DUMAN, O.: Statistical convergence on intuitionistic fuzzy normed spaces, Chaos Solitons Fractals 35 (2008), no. 4, 215–229. Search in Google Scholar

[11] KHAN, V. A.—AHMAD, M.—FATIMA, H.—KHAN, F. M.: On some results in intuitionistic fuzzy ideal convergence double sequence spaces, Adv. Difference Equ. 2019 (2019), no. 1, Paper No. 375, 10 pp. Search in Google Scholar

[12] KHAN, V. A.—FATIMA, H.—ALTAF, H.—LOHANI, Q. M. D.—SRIVASTAVA, H. M.: Intuitionistic fuzzy I-convergent sequence spaces defined by compact operator, Cogent Math. 3 (2016), no. 1, Article ID: 1267904. Search in Google Scholar

[13] KHAN, V. A.—KARA, E.—ALTAF, H.—KHAN, N.—AHMAD, M.: Intuitionistic fuzzy ℐ-convergent Fibonacci difference sequence spaces, J. Inequal. Appl. 2019 (2019), Article no. 202, 7 pp. Search in Google Scholar

[14] KHAN, V. A.—RAHAMAN, S. K. A.: Intuitionistic fuzzy tribonacci convergent sequence spaces, Math. Slovaca 72 (2022), no. 3, 693–708. Search in Google Scholar

[15] KIRIŞCI, M.—ŞIMŞEK, N.: Neutrosophic metric spaces, Math. Sci. 14 (2022), no. 3, 241–248. Search in Google Scholar

[16] KIRIŞCI M.—ŞIMŞEK, N.: Neutrosophic normed spaces and statistical convergence, J. Anal. 28 (2020), no. 4, 1059–1073. Search in Google Scholar

[17] KIŞI,Ö.: Ideal convergence of sequences in neutrosophic normed spaces,J.Intell. Fuzzy Systems 41 (2021), no. 2, 2581–2590. Search in Google Scholar

[18] KOSTYRKO, P.—˘SALÁT, T.—WILCZYNSSKI, W.: ℐ-convergence, Real Anal. Exchange 26 (2000), no. 2, 669–686. Search in Google Scholar

[19] KRAMOSIL, I.—MICHALEK, J.: Fuzzy metric and statistical metric spaces,Kybernetika 11 (1975), no. 5, 336–344. Search in Google Scholar

[20] LAEL, F.—NOUROUZI, K.: Some results on the IF-normed spaces, Chaos Solitons Fractals 37 (2008), no. 3, 931–939. Search in Google Scholar

[21] MENGER, K.: Statistical metrics, Proc. Nat. Acad. Sci. U.S.A 28 (1942), 535–537. Search in Google Scholar

[22] MOHIUDDINE, S. A.—ASIRI, A.—HAZARIKA, H.: Weighted statistical convergence through difference operator of sequences of fuzzy numbers with application to fuzzy approximation theorems, Int.J.Gen. Syst. 48 (2019), no. 5, 492–506. Search in Google Scholar

[23] MOHIUDDINE, S. A.—DANISH LOHANI, Q. M.: On generalized statistical convergence in intuitionistic fuzzy normed space, Chaos Solitons Fractals 42 (2009), no. 3, 1731–1737. Search in Google Scholar

[24] MURSALEEN, M.—MOHIUDDINE, S. A.: On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space, J. Comput. Appl. Math. 233 (2009), no. 2, 142–149. Search in Google Scholar

[25] MURSALEEN, M.—MOHIUDDINE, S. A.—EDELY, O. H. H.: On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces, Comput. Math. Appl. 59 (2010), no. 2, 603–611. Search in Google Scholar

[26] NABIEV, A. A.—PEHLIVAN, S.—GÜRDAL, M.: On I−Cauchy sequences,Taiwanese J. Math. 11 (2007), no. 2, 569–566. Search in Google Scholar

[27] PARK,J.H.: Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals 22 (2004), no. 5, 1039–1046. Search in Google Scholar

[28] RATH, D.—TRIPATHY, B. C.: Matrix maps on sequence spaces associated with sets of integers, Indian J. Pure Appl. Math. 27 (1996), 197–206. Search in Google Scholar

[29] SAVAŞ, E.—DAS, P.: A generalized statistical convergence via ideals, Appl. Math. Lett. 24 (2011), no. 6, 826–830. Search in Google Scholar

[30] SAVAŞ, E.—GÜRDAL, M.: Certain summability methods in intuitionistic fuzzy normed spaces, J. Intell. Fuzzy Systems 27 (2014), no. 4, 1621–1629. Search in Google Scholar

[31] SAVAŞ, E.—GÜRDAL, M.: A generalized statistical convergence in intuitionistic fuzzy normed spaces, Science Asia 41 (2015), nno. 4, 289–294. Search in Google Scholar

[32] SAVAŞ, E.—GÜRDAL, M.: Ideal convergent function sequences in random 2-normed spaces, Filomat 30 (2016), no. 3, 557–567. Search in Google Scholar

[33] SMARANDACHE, F.: Neutrosophy. Neutrosophic Probability, Set, and Logic. Ed. of ProQuest Information & Learning, Ann Arbor, Michigan, USA, 1998. Search in Google Scholar

[34] SMARANDACHE, F.: Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Int. J. Pure Appl. Math. 24 (2005), no. 3, 287–297. Search in Google Scholar

[35] KHAN, V. A.—ARSHAD, M.: On some properties of Nörlund ideal convergence of sequence in neutrosophic normed spaces, Ital. J. Pure Appl. Math. 40 (2023) 1–8. Search in Google Scholar

[36] KHAN, V. A.—ARSHAD, M.—KHAN, M. D.: Some results of neutrosophic normed space VIA Tribonacci convergent sequence spaces, J. Inequal. Appl. 2022, paper no. 42, 27 pp. Search in Google Scholar

[37] KHAN, V. A.— ARSHAD, M.—–ALAM, M.: Riesz deal convergence in neutrosophic normed spaces. J. Intell. Fuzzy Systems. 42 (2023). no. 4, 1–10. Search in Google Scholar

[38] TAN, B.—WEN,Z.Y.: Some properties of the tribonacci sequence, European J. Combin. 28 (2007), no. 6, 1703–1719. Search in Google Scholar

[39] TRIPATHY, B. C.—HAZARIKA, B.—CHOUDHARY, B.: Lacunary ℐ−convergent sequences, Kyungpook Math. J. 52 (2012), no. 4, 473–482. Search in Google Scholar

[40] TRIPATHY, B. C.—SEN, M.: On fuzzy ℐ−convergent difference sequence spaces, J. Intell. Fuzzy Syst. 25 (2013), no. 3, 643–647. Search in Google Scholar

[41] WILANSKY, A.: Summability through functional analysis. North-Holland Mathematics Stud. Vol. 85. Notas Mat. Vol. 91. [Mathematical Notes] North-Holland Publishing Co., Amsterdam-New York-Oxford, 1984. Search in Google Scholar

[42] YAYING, T.—HAZARIKA, B.: On sequence spaces defined by the domain of a regular tribonacci matrix, Math. Slovaca 70 (2020), no. 3, 697–706. Search in Google Scholar

[43] ZADEH, L. A.: Fuzzy sets,Inf.Control 8 (1965), no. 3, 338–353. Search in Google Scholar