| Peer-Reviewed

Generalized Nörlund Summability of Fuzzy Real Numbers

Received: 9 December 2014     Accepted: 23 December 2014     Published: 12 January 2015
Views:       Downloads:
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.
Cite This Article
  • 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

    Copy | Download

    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

    Copy | Download

    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

    Copy | Download

  • @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  - 

    Copy | Download

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

  • Sections