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On \(\lambda \)-statistical boundedness of order \(\beta \) of sequences of fuzzy numbers

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Abstract

In this paper, we introduce and examine the concept of \(\lambda \)-statistical boundedness of order \(\beta \) of sequences of fuzzy numbers and give some relations between statistical boundedness and \(\lambda \)-statistical boundedness of order \(\beta \).

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References

  • Altinok H (2014) Statistical convergence of order \(\beta \) for generalized difference sequences of fuzzy numbers. J Intell Fuzzy Syst 26:847–856

    MathSciNet  Google Scholar 

  • Altinok H, Altin Y, Isik M (2012) Statistical convergence and strong \(p\)-Cesàro summability of order \(\beta \) in sequences of fuzzy numbers. Iran J Fuzzy Syst 9(2):63–73

    MathSciNet  Google Scholar 

  • Bhardwaj VK, Bala I (2007) On weak statistical convergence. Int J Math Math Sci, Art. ID 38530, p 9

  • Bhardwaj VK, Gupta S (2014) On some generalizations of statistical boundedness. J Inequal Appl 2014:12

    Article  Google Scholar 

  • Burgin M (2000) Theory of fuzzy limits. Fuzzy Sets Syst 115(3):433–443

    Article  MathSciNet  Google Scholar 

  • Çolak R (2010) Statistical convergence of order \(\alpha \), modern methods in analysis and its applications. Anamaya, New Delhi

    Google Scholar 

  • Çolak R, Bektaş ÇA (2011) \(\lambda \)-Statistical convergence of order \(\alpha \). Acta Math Sin Engl Ser 31(3):953–959

    Google Scholar 

  • Connor JS (1988) The statistical and strong \(p\)-Cesaro convergence of sequences. Analysis 8:47–63

    Article  MathSciNet  Google Scholar 

  • Et M, Altınok H, Çolak R (2006) On \(\lambda \)-statistical convergence of difference sequences of fuzzy numbers. Inform Sci 176(15):2268–2278

    Article  MathSciNet  Google Scholar 

  • Et M (2015) On pointwise \(\lambda \)-statistical convergence of order \(\alpha \) of sequences of fuzzy mappings (in press)

  • Et M (2003) Strongly almost summable difference sequences of order \( m\) defined by a modulus. Stud Sci Math Hung 40(4):463–476

    MathSciNet  Google Scholar 

  • Fast H (1951) Sur la convergence statistique. Colloq Math 2:241–244

    MathSciNet  Google Scholar 

  • Fridy J (1985) On statistical convergence. Analysis 5:301–313

    Article  MathSciNet  Google Scholar 

  • Fridy JA, Orhan C (1997) Statistical limit superior and limit inferior. Proc Am Math Soc 125(12):3625–3631

    Article  MathSciNet  Google Scholar 

  • Gadjiev AD, Orhan C (2002) Some approximation theorems via statistical convergence. Rocky Mt J Math 32(1):129–138

    Article  MathSciNet  Google Scholar 

  • Gökhan A, Et M, Mursaleen M (2009) Almost lacunary statistical and strongly almost lacunary convergence of sequences of fuzzy numbers. Math Comput Model 49(3–4):548–555

    Article  Google Scholar 

  • Matloka M (1986) Sequences of fuzzy numbers. BUSEFAL 28:28–37

    Google Scholar 

  • Mohiuddine SA, Alotaibi A, Mursaleen M (2012) Statistical convergence of double sequences in locally solid Riesz spaces. Abstr Appl Anal, Art. ID 719729, p 9

  • Mursaleen M (2000) \(\lambda \)-Statistical convergence. Math Slovaca 50(1):111–115

    MathSciNet  Google Scholar 

  • Schoenberg IJ (1959) The integrability of certain functions and related summability methods. Am Math Mon 66:361–375

    Article  MathSciNet  Google Scholar 

  • Salat T (1980) On statistically convergent sequences of real numbers. Math Slovaca 30:139–150

    MathSciNet  Google Scholar 

  • Steinhaus H (1951) Sur la convergence ordinaire et la convergence asymptotique. Colloq Math 2:73–74

    MathSciNet  Google Scholar 

  • Tripathy BC, Baruah A, Et M, Güngör M (2012) On almost statistical convergence of new type of generalized difference sequence of fuzzy numbers. Iran J Sci Technol Trans A Sci 36(2):147–155

    MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, Fırat University, 23119, Elazig, Turkey

    Hıfsı Altınok & Mikail Et

  2. Department of Mathematics, Siirt University, 56100, Siirt, Turkey

    Mikail Et

Authors
  1. Hıfsı Altınok
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  2. Mikail Et
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Corresponding author

Correspondence to Hıfsı Altınok.

Additional information

Communicated by A. Di Nola.

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Altınok, H., Et, M. On \(\lambda \)-statistical boundedness of order \(\beta \) of sequences of fuzzy numbers. Soft Comput 19, 2095–2100 (2015). https://doi.org/10.1007/s00500-015-1660-2

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  • DOI: https://doi.org/10.1007/s00500-015-1660-2

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