Master'sOpen Access

Statistical convergence of fuzzy functions

2020
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Advisor: Prof. Dr. Yavuz Altın

Abstract (EN)

In the first part of this thesis, historical improvement of subject is given. In the second part, basic definitions and theorems related to natural density and statistical convergence of a set and Cesàro summability are given. In the third chapter, definition of fuzzy set, some algebraic properties of fuzzy set, algebraic operations on fuzzy numbers and the structure of metric defined on fuzzy set are mentioned. In addition, by giving the fuzzy number sequence and the basic properties of these sequences, the statistical convergence of the fuzzy number sequences and the pointwise statistical convergence of the fuzzy function sequences are given in detail. In the fourth part, some features of the concept of   pointwise statistical convergence of fuzzy function sequences with  .degree are examined. And the relation of it with strongly  p  pointwise convergence with  .degree is examined.

Author

Visali Ceylan

Institution

How to Cite

Visali Ceylan (Master Thesis). Statistical convergence of fuzzy functions, 2020, Fırat University.

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