### Generalized Nörlund Summability of Fuzzy Real Numbers

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

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.
• 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

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

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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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},
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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.},
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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