Abel summability of sequences of fuzzy numbers

详细信息    查看全文

• 作者：Enes Yavuz ; Özer Talo
• 关键词：Sequences of fuzzy numbers ; Abel summability ; Tauberian theorems
• 刊名：Soft Computing - A Fusion of Foundations, Methodologies and Applications
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：20
• 期：3
• 页码：1041-1046
• 全文大小：404 KB
• 参考文献：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
  Altınok H, Çolak R, Altın Y (2012) On the class of \(\lambda \) -statistically convergent difference sequences of fuzzy numbers. Soft Comput 16(6):1029–1034CrossRef MATH
  Anastassiou GA, Gal SG (2001) On a fuzzy trigonometric approximation theorem of Weierstrass-type. J Fuzzy Math 9(3):701–708MathSciNet MATH
  Bede B, Gal SG (2004) Almost periodic fuzzy-number-valued functions. Fuzzy Sets Syst 147:385–403CrossRef MathSciNet MATH
  Çanak İ (2014) On the Riesz mean of sequences of fuzzy real numbers. J Intell Fuzzy Syst 26(6):2685–2688MATH
  Çanak İ (2014) Tauberian theorems for Cesàro summability of sequences of fuzzy number. J Intell Fuzzy Syst 27(2):937–942MATH
  Çolak R, Altın Y, Mursaleen M (2011) On some sets of difference sequences of fuzzy numbers. Soft Comput 15(4):787–793CrossRef MATH
  Diamond P, Kloeden P (1990) Metric spaces of fuzzy sets. Fuzzy Sets Syst 35:241–249CrossRef MathSciNet MATH
  Goetschel R, Voxman W (1986) Elementary fuzzy calculus. Fuzzy Sets Syst 18:31–43CrossRef MathSciNet MATH
  Kadak U, Başar F (2012) Power series of fuzzy numbers with real or fuzzy coefficients. Filomat 26(3):519–528CrossRef MathSciNet MATH
  Kim YK, Ghil BM (1997) Integrals of fuzzy-number-valued functions. Fuzzy Sets Syst 86:213–222CrossRef MathSciNet MATH
  Matloka M (1986) Sequences of fuzzy numbers. Busefal 28:28–37MATH
  Nanda S (1989) On sequence of fuzzy numbers. Fuzzy Sets Syst 33:123–126CrossRef MathSciNet MATH
  Savaş E (2012) A note on double lacunary statistical \(\sigma \) -convergence of fuzzy numbers. Soft Comput 16(4):591–595CrossRef MATH
  Stojaković M, Stojaković Z (1996) Addition and series of fuzzy sets. Fuzzy Sets Syst 83:341–346
  Stojaković M, Stojaković Z (2009) Series of fuzzy sets. Fuzzy Sets Syst 160:3115–3127
  Subrahmanyam PV (1999) Cesàro summability of fuzzy real numbers. J Anal 7:159–168MathSciNet MATH
  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):717–733CrossRef MathSciNet MATH
  Talo Ö, Çakan C (2012) On the Cesàro convergence of sequences of fuzzy numbers. Appl Math Lett 25:676–681CrossRef MathSciNet MATH
  Talo Ö, Başar F (2013) On the slowly decreasing sequences of fuzzy numbers. Abstr Appl Anal Article ID 891986 2013, p 1–7. doi:10.​1155/​2013/​891986
  Tripathy BC, Baruah A (2010) Nörlund and Riesz mean of sequences of fuzzy real numbers. Appl Math Lett 23:651–655CrossRef MathSciNet MATH
  Tripathy BC, Dutta AJ (2013) Lacunary bounded variation sequence of fuzzy real numbers. J Intell Fuzzy Syst 24(1):185–189MathSciNet MATH
  Tripathy BC, Sen M (2013) On fuzzy I-convergent difference sequence space. J Intell Fuzzy Syst 25(3):643–647MathSciNet MATH
  Zadeh LA (1965) Fuzzy sets. Inf Control 8:29–44CrossRef MathSciNet
  
• 作者单位：Enes Yavuz (1)
  Özer Talo (1)
  
  1. Department of Mathematics, Faculty of Science, Celal Bayar University, Manisa, Turkey
  
• 刊物类别：Engineering
• 刊物主题：Numerical and Computational Methods in Engineering
  Theory of Computation
  Computing Methodologies
  Mathematical Logic and Foundations
  Control Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1433-7479

文摘

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. Keywords Sequences of fuzzy numbers Abel summability Tauberian theorems