Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 8 Sayı: 1, 62 - 69, 15.04.2020

Öz

Kaynakça

  • [1] S. Aytar, M. Mammadov and S. Pehlivan, Statistical limit inferior and limit superior for sequences of fuzzy numbers, Fuzzy Set Syst 157, No. 7 (2006) 976–985.
  • [2] S. Aytar and S. Pehlivan, Statistical cluster and extreme limit points of sequences of fuzzy numbers, Inform. Sci. 177, No. 16 (2007) 3290–3296
  • [3] B. Bede and S. G. Gal, Almost periodic fuzzy-number-valued functions, Fuzzy Set Syst 147, (2004) 385–403.
  • [4] C. Belen, Tauberian theorems for weighted mean summability method of improper Riemann integrals of fuzzy-number-valued functions, Soft Comput 22, No. 12 (2018) 3951–3957
  • [5] C. Belen, Tauberian theorems for statistical limit and statistical summability by weighted means of continuous fuzzy valued functions, J. Math. Ext. (2020), preprint
  • [6] H. Fast, Sur la convergence statistique, Colloq. Math. 2, (1951) 241–244.
  • [7] O. Kaleva, Fuzzy differential equations, Fuzzy Set Syst 24, (1987) 301–317.
  • [8] Y. K. Kim and B. M. Ghil, Integrals of fuzzy-number-valued functions, Fuzzy Set Syst 86, (1997) 213–222
  • [9] H. Li and C. Wu, The integral of a fuzzy mapping over a directed line, Fuzzy Set Syst 158, (2007) 2317–2338.
  • [10] J. Li, A. Zhao and J. Yan, The Cauchy problem of fuzzy differential equations under generalized differentiability, Fuzzy Set Syst 200, (2012) 1–24.
  • [11] F. Moricz, Statistical limits of measurable functions, Analysis 24, (2004) 1–18.
  • [12] F. Moricz, Statistical extensions of some classical Tauberian theorems in nondiscrete setting, Colloq. Math. 107, No. 1 (2007) 45–56.
  • [13] F. Moricz and Nemeth Z., Statistical extension of classical Tauberian theorems in the case of logarithmic summability, Anal. Math. 40, No. 3 (2014) 231–242.
  • [14] O. Talo and F. Basar, On the Slowly Decreasing Sequences of Fuzzy Numbers, Abstr. Appl. Anal. 2013, (2013) 1–7.
  • [15] E. Yavuz, O. Talo and H. C¸ os¸kun, Cesa`ro summability of integrals of fuzzy-number-valued functions, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 67, No. 2 (2018) 38–49.
  • [16] L. A. Zadeh, Fuzzy sets, Inform. Control 8, (1965) 338–353.

On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions

Yıl 2020, Cilt: 8 Sayı: 1, 62 - 69, 15.04.2020

Öz

We introduce the notions of statistical limit, statistical Cesaro summability of strongly measurable fuzzy valued functions and give slowly decreasing-slowly oscillating type Tauberian conditions under which statistical limits and statistical Cesaro summability of fuzzy valued functions imply ordinary limits in fuzzy number space.


Kaynakça

  • [1] S. Aytar, M. Mammadov and S. Pehlivan, Statistical limit inferior and limit superior for sequences of fuzzy numbers, Fuzzy Set Syst 157, No. 7 (2006) 976–985.
  • [2] S. Aytar and S. Pehlivan, Statistical cluster and extreme limit points of sequences of fuzzy numbers, Inform. Sci. 177, No. 16 (2007) 3290–3296
  • [3] B. Bede and S. G. Gal, Almost periodic fuzzy-number-valued functions, Fuzzy Set Syst 147, (2004) 385–403.
  • [4] C. Belen, Tauberian theorems for weighted mean summability method of improper Riemann integrals of fuzzy-number-valued functions, Soft Comput 22, No. 12 (2018) 3951–3957
  • [5] C. Belen, Tauberian theorems for statistical limit and statistical summability by weighted means of continuous fuzzy valued functions, J. Math. Ext. (2020), preprint
  • [6] H. Fast, Sur la convergence statistique, Colloq. Math. 2, (1951) 241–244.
  • [7] O. Kaleva, Fuzzy differential equations, Fuzzy Set Syst 24, (1987) 301–317.
  • [8] Y. K. Kim and B. M. Ghil, Integrals of fuzzy-number-valued functions, Fuzzy Set Syst 86, (1997) 213–222
  • [9] H. Li and C. Wu, The integral of a fuzzy mapping over a directed line, Fuzzy Set Syst 158, (2007) 2317–2338.
  • [10] J. Li, A. Zhao and J. Yan, The Cauchy problem of fuzzy differential equations under generalized differentiability, Fuzzy Set Syst 200, (2012) 1–24.
  • [11] F. Moricz, Statistical limits of measurable functions, Analysis 24, (2004) 1–18.
  • [12] F. Moricz, Statistical extensions of some classical Tauberian theorems in nondiscrete setting, Colloq. Math. 107, No. 1 (2007) 45–56.
  • [13] F. Moricz and Nemeth Z., Statistical extension of classical Tauberian theorems in the case of logarithmic summability, Anal. Math. 40, No. 3 (2014) 231–242.
  • [14] O. Talo and F. Basar, On the Slowly Decreasing Sequences of Fuzzy Numbers, Abstr. Appl. Anal. 2013, (2013) 1–7.
  • [15] E. Yavuz, O. Talo and H. C¸ os¸kun, Cesa`ro summability of integrals of fuzzy-number-valued functions, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 67, No. 2 (2018) 38–49.
  • [16] L. A. Zadeh, Fuzzy sets, Inform. Control 8, (1965) 338–353.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Özer Talo Bu kişi benim 0000-0003-1393-5414

Enes Yavuz 0000-0002-4335-5210

Hüsamettin Çoşkun 0000-0002-2344-9682

Yayımlanma Tarihi 15 Nisan 2020
Gönderilme Tarihi 19 Mayıs 2019
Kabul Tarihi 28 Mart 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 8 Sayı: 1

Kaynak Göster

APA Talo, Ö., Yavuz, E., & Çoşkun, H. (2020). On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp Journal of Mathematics, 8(1), 62-69.
AMA Talo Ö, Yavuz E, Çoşkun H. On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp J. Math. Nisan 2020;8(1):62-69.
Chicago Talo, Özer, Enes Yavuz, ve Hüsamettin Çoşkun. “On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions”. Konuralp Journal of Mathematics 8, sy. 1 (Nisan 2020): 62-69.
EndNote Talo Ö, Yavuz E, Çoşkun H (01 Nisan 2020) On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp Journal of Mathematics 8 1 62–69.
IEEE Ö. Talo, E. Yavuz, ve H. Çoşkun, “On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions”, Konuralp J. Math., c. 8, sy. 1, ss. 62–69, 2020.
ISNAD Talo, Özer vd. “On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions”. Konuralp Journal of Mathematics 8/1 (Nisan 2020), 62-69.
JAMA Talo Ö, Yavuz E, Çoşkun H. On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp J. Math. 2020;8:62–69.
MLA Talo, Özer vd. “On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions”. Konuralp Journal of Mathematics, c. 8, sy. 1, 2020, ss. 62-69.
Vancouver Talo Ö, Yavuz E, Çoşkun H. On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp J. Math. 2020;8(1):62-9.
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