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-Statistical convergence of order ß in sequences of fuzzy numbers

2013
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Advisor: Doç. Dr. Hıfsı Altınok

Abstract (EN)

In the introduction of this thesis that consist of five chapters, we mention a short history of the fuzzy numbers. Morever, we give examples from daily life in order to understand the topic. In the second chapter, we give some fundamental definitions and theorems which will be used in the next chapters. In the third chapter, we give the concepts of fuzzy set, fuzzy number and sequence of fuzzy numbers and mention convergence, boundedness, statistical convergence and strongly p-Cesaro summability in the sequences of fuzzy numbers. In the fourth chapter, we define the concepts of -statistical convergence of order ß and strongly p-Cesaro summability of order ß for sequences of fuzzy numbers and give relations among them. In the last chapter, we give some inclusion relations between sequence classes which are strongly p-Cesaro summable of order ß and -statistically convergent of order ß using a modulus function f.

Author

Dr. Hatice Gidemen

How to Cite

Hatice Gidemen (Master Thesis). -Statistical convergence of order ß in sequences of fuzzy numbers, 2013, Fırat University.

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