Pure and Applied Mathematics Journal

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Generalized Nörlund Summability of Fuzzy Real Numbers

Received: 09 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.

DOI 10.11648/j.pamj.s.2015040102.17
Published in Pure and Applied Mathematics Journal (Volume 4, Issue 1-2, January 2015)

This article belongs to the Special Issue Applications of Geometry

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), 2024. 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.
Author Information
  • Gaziosmanpa?a University, Faculty of Educational, Department of Mathematics and Vocational High Schools, 60250 Tokat, Turkey

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

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    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://download.sciencepg.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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