Generalized Nörlund Summability of Fuzzy Real Numbers

Adem Eroglu; Saban Yilmaz

doi:doi:10.11648/j.pamj.s.2015040102.17

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Generalized Nörlund Summability of Fuzzy Real Numbers

Adem Eroglu, Saban Yilmaz

Published in Pure and Applied Mathematics Journal (Volume 4, Issue 1-2)

Received: 9 December 2014 Accepted: 23 December 2014 Published: 12 January 2015

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Abstract

Fuzzy set, mathematical modelling in order to some uncertainty in 1965 was described by L. A. Zadeh [7]. In studies on fuzzy sets, fuzzy numbers [5], fuzzy relations [5], fuzzy function [5], fuzzy sequence [4] is defined as concepts. After Nörlund fuzzy and blurry Riez summability have been identified [6]. In this study, fuzzy Generalized Nörlund summability have been defined and Generalized Nörlund summability necessary and sufficient conditions to ensure the regular was investigated.

Published in	Pure and Applied Mathematics Journal (Volume 4, Issue 1-2) This article belongs to the Special Issue Applications of Geometry
DOI	10.11648/j.pamj.s.2015040102.17
Page(s)	28-30
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Generalized Nörlund Summability, Nörlund Mean Fuzzy, Fuzzy Mean Riesz, Cesaro Mean Fuzzy

References

[1]	Aytar, S., 2003, Statistical limit points of sequences of fuzzy numbers, Elsevier, Information Sciences 165 (2004) 129–138.
[2]	Çınar, M. 2007, Bulanık Sayı Dizileri ve İstatistiksel Yakınsaklık, Fırat Üniversitesi, Fen Bilimleri Enstitüsü, Yüksek Lisans Tezi.
[3]	George, J. K., and Bo Yuan, Fuzzy Sets and Fuzzy Logic, Theory and Applications, USA, 1995.
[4]	Moore, R. E., 1979, Methods and Apllications of Interval Analysis, SIAM Philadelphia.
[5]	Tanaka, K., 1991. An Introduction to Fuzzy Logic for Practical Applications, Kanazawa, Japan.
[6]	Tripathy, B. C., Baruah, A., Nörlund and Riesz mean of sequences of fuzzy real numbers, Applied Mathematics Letters 23 (2010) 651-655.
[7]	Zadeh, L.A. (1973) Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Man Cybernetics 3: 28–44.

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APA Style

Adem Eroglu, Saban Yilmaz. (2015). Generalized Nörlund Summability of Fuzzy Real Numbers. Pure and Applied Mathematics Journal, 4(1-2), 28-30. https://doi.org/10.11648/j.pamj.s.2015040102.17

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ACS Style

Adem Eroglu; Saban Yilmaz. Generalized Nörlund Summability of Fuzzy Real Numbers. Pure Appl. Math. J. 2015, 4(1-2), 28-30. doi: 10.11648/j.pamj.s.2015040102.17

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AMA Style

Adem Eroglu, Saban Yilmaz. Generalized Nörlund Summability of Fuzzy Real Numbers. Pure Appl Math J. 2015;4(1-2):28-30. doi: 10.11648/j.pamj.s.2015040102.17

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@article{10.11648/j.pamj.s.2015040102.17,
  author = {Adem Eroglu and Saban Yilmaz},
  title = {Generalized Nörlund Summability of Fuzzy Real Numbers},
  journal = {Pure and Applied Mathematics Journal},
  volume = {4},
  number = {1-2},
  pages = {28-30},
  doi = {10.11648/j.pamj.s.2015040102.17},
  url = {https://doi.org/10.11648/j.pamj.s.2015040102.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2015040102.17},
  abstract = {Fuzzy set, mathematical modelling in order to some uncertainty in 1965 was described by L. A. Zadeh [7]. In studies on fuzzy sets, fuzzy numbers [5], fuzzy relations [5], fuzzy function [5], fuzzy sequence [4] is defined as concepts. After Nörlund fuzzy and blurry Riez summability have been identified [6]. In this study, fuzzy Generalized Nörlund summability have been defined and Generalized Nörlund summability necessary and sufficient conditions to ensure the regular was investigated.},
 year = {2015}
}

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TY  - JOUR
T1  - Generalized Nörlund Summability of Fuzzy Real Numbers
AU  - Adem Eroglu
AU  - Saban Yilmaz
Y1  - 2015/01/12
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.s.2015040102.17
DO  - 10.11648/j.pamj.s.2015040102.17
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 28
EP  - 30
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.s.2015040102.17
AB  - Fuzzy set, mathematical modelling in order to some uncertainty in 1965 was described by L. A. Zadeh [7]. In studies on fuzzy sets, fuzzy numbers [5], fuzzy relations [5], fuzzy function [5], fuzzy sequence [4] is defined as concepts. After Nörlund fuzzy and blurry Riez summability have been identified [6]. In this study, fuzzy Generalized Nörlund summability have been defined and Generalized Nörlund summability necessary and sufficient conditions to ensure the regular was investigated.
VL  - 4
IS  - 1-2
ER  -

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Author Information

Adem Eroglu

Gaziosmanpa?a University, Faculty of Educational, Department of Mathematics and Vocational High Schools, 60250 Tokat, Turkey
Saban Yilmaz

Gaziosmanpa?a University, Faculty of Educational, Department of Mathematics and Vocational High Schools, 60250 Tokat, Turkey

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APA Style

Adem Eroglu, Saban Yilmaz. (2015). Generalized Nörlund Summability of Fuzzy Real Numbers. Pure and Applied Mathematics Journal, 4(1-2), 28-30. https://doi.org/10.11648/j.pamj.s.2015040102.17

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ACS Style

Adem Eroglu; Saban Yilmaz. Generalized Nörlund Summability of Fuzzy Real Numbers. Pure Appl. Math. J. 2015, 4(1-2), 28-30. doi: 10.11648/j.pamj.s.2015040102.17

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AMA Style

Adem Eroglu, Saban Yilmaz. Generalized Nörlund Summability of Fuzzy Real Numbers. Pure Appl Math J. 2015;4(1-2):28-30. doi: 10.11648/j.pamj.s.2015040102.17

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@article{10.11648/j.pamj.s.2015040102.17,
  author = {Adem Eroglu and Saban Yilmaz},
  title = {Generalized Nörlund Summability of Fuzzy Real Numbers},
  journal = {Pure and Applied Mathematics Journal},
  volume = {4},
  number = {1-2},
  pages = {28-30},
  doi = {10.11648/j.pamj.s.2015040102.17},
  url = {https://doi.org/10.11648/j.pamj.s.2015040102.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2015040102.17},
  abstract = {Fuzzy set, mathematical modelling in order to some uncertainty in 1965 was described by L. A. Zadeh [7]. In studies on fuzzy sets, fuzzy numbers [5], fuzzy relations [5], fuzzy function [5], fuzzy sequence [4] is defined as concepts. After Nörlund fuzzy and blurry Riez summability have been identified [6]. In this study, fuzzy Generalized Nörlund summability have been defined and Generalized Nörlund summability necessary and sufficient conditions to ensure the regular was investigated.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Generalized Nörlund Summability of Fuzzy Real Numbers
AU  - Adem Eroglu
AU  - Saban Yilmaz
Y1  - 2015/01/12
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.s.2015040102.17
DO  - 10.11648/j.pamj.s.2015040102.17
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 28
EP  - 30
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.s.2015040102.17
AB  - Fuzzy set, mathematical modelling in order to some uncertainty in 1965 was described by L. A. Zadeh [7]. In studies on fuzzy sets, fuzzy numbers [5], fuzzy relations [5], fuzzy function [5], fuzzy sequence [4] is defined as concepts. After Nörlund fuzzy and blurry Riez summability have been identified [6]. In this study, fuzzy Generalized Nörlund summability have been defined and Generalized Nörlund summability necessary and sufficient conditions to ensure the regular was investigated.
VL  - 4
IS  - 1-2
ER  -

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