Skip to main content
Top
Published in: Soft Computing 3/2016

21-12-2014 | Methodologies and Application

Abel summability of sequences of fuzzy numbers

Authors: Enes Yavuz, Özer Talo

Published in: Soft Computing | Issue 3/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In the present study, we have introduced the concept of Abel summability for sequences and series of fuzzy numbers. Also, some tauberian results in classical analysis have been generalized to fuzzy analysis.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Altın Y, Mursaleen M, Altınok H (2010) Statistical summability \((C; 1)\)-for sequences of fuzzy real numbers and a Tauberian theorem. J Intell Fuzzy Syst 21:379–384 Altın Y, Mursaleen M, Altınok H (2010) Statistical summability \((C; 1)\)-for sequences of fuzzy real numbers and a Tauberian theorem. J Intell Fuzzy Syst 21:379–384
go back to reference Altınok H, Çolak R, Altın Y (2012) On the class of \(\lambda \)-statistically convergent difference sequences of fuzzy numbers. Soft Comput 16(6):1029–1034CrossRefMATH Altınok H, Çolak R, Altın Y (2012) On the class of \(\lambda \)-statistically convergent difference sequences of fuzzy numbers. Soft Comput 16(6):1029–1034CrossRefMATH
go back to reference Anastassiou GA, Gal SG (2001) On a fuzzy trigonometric approximation theorem of Weierstrass-type. J Fuzzy Math 9(3):701–708MathSciNetMATH Anastassiou GA, Gal SG (2001) On a fuzzy trigonometric approximation theorem of Weierstrass-type. J Fuzzy Math 9(3):701–708MathSciNetMATH
go back to reference Çanak İ (2014) On the Riesz mean of sequences of fuzzy real numbers. J Intell Fuzzy Syst 26(6):2685–2688MATH Çanak İ (2014) On the Riesz mean of sequences of fuzzy real numbers. J Intell Fuzzy Syst 26(6):2685–2688MATH
go back to reference Çanak İ (2014) Tauberian theorems for Cesàro summability of sequences of fuzzy number. J Intell Fuzzy Syst 27(2):937–942MATH Çanak İ (2014) Tauberian theorems for Cesàro summability of sequences of fuzzy number. J Intell Fuzzy Syst 27(2):937–942MATH
go back to reference Çolak R, Altın Y, Mursaleen M (2011) On some sets of difference sequences of fuzzy numbers. Soft Comput 15(4):787–793CrossRefMATH Çolak R, Altın Y, Mursaleen M (2011) On some sets of difference sequences of fuzzy numbers. Soft Comput 15(4):787–793CrossRefMATH
go back to reference Matloka M (1986) Sequences of fuzzy numbers. Busefal 28:28–37MATH Matloka M (1986) Sequences of fuzzy numbers. Busefal 28:28–37MATH
go back to reference Savaş E (2012) A note on double lacunary statistical \(\sigma \)-convergence of fuzzy numbers. Soft Comput 16(4):591–595CrossRefMATH Savaş E (2012) A note on double lacunary statistical \(\sigma \)-convergence of fuzzy numbers. Soft Comput 16(4):591–595CrossRefMATH
go back to reference Stojaković M, Stojaković Z (1996) Addition and series of fuzzy sets. Fuzzy Sets Syst 83:341–346 Stojaković M, Stojaković Z (1996) Addition and series of fuzzy sets. Fuzzy Sets Syst 83:341–346
go back to reference Stojaković M, Stojaković Z (2009) Series of fuzzy sets. Fuzzy Sets Syst 160:3115–3127 Stojaković M, Stojaković Z (2009) Series of fuzzy sets. Fuzzy Sets Syst 160:3115–3127
go back to reference Talo Ö, Başar F (2009) Determination of the duals of classical sets of sequences of fuzzy numbers and related matrix transformations. Comput Math Appl 58(4):717–733CrossRefMathSciNetMATH Talo Ö, Başar F (2009) Determination of the duals of classical sets of sequences of fuzzy numbers and related matrix transformations. Comput Math Appl 58(4):717–733CrossRefMathSciNetMATH
go back to reference Tripathy BC, Dutta AJ (2013) Lacunary bounded variation sequence of fuzzy real numbers. J Intell Fuzzy Syst 24(1):185–189MathSciNetMATH Tripathy BC, Dutta AJ (2013) Lacunary bounded variation sequence of fuzzy real numbers. J Intell Fuzzy Syst 24(1):185–189MathSciNetMATH
go back to reference Tripathy BC, Sen M (2013) On fuzzy I-convergent difference sequence space. J Intell Fuzzy Syst 25(3):643–647MathSciNetMATH Tripathy BC, Sen M (2013) On fuzzy I-convergent difference sequence space. J Intell Fuzzy Syst 25(3):643–647MathSciNetMATH
Metadata
Title
Abel summability of sequences of fuzzy numbers
Authors
Enes Yavuz
Özer Talo
Publication date
21-12-2014
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 3/2016
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-014-1563-7

Other articles of this Issue 3/2016

Soft Computing 3/2016 Go to the issue

Premium Partner