Master'sOpen Access

Fuzzy transform and some of its applications

2020
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Advisor: Doç. Dr. Zekeriya Ustaoğlu

Abstract (EN)

The thesis consists of four chapters. In the first chapter, some basic definitions on fuzzy sets are given. In the second chapter, fuzzy partition, fuzzy transform, discrete fuzzy transform and inverse fuzzy transform concepts are considered. In the third chapter, as applications of fuzzy transform, the approximate solutions of two point boundary-value problem, the first mixed problem for parabolic equation, the first mixed problem for hyperbolic equation and Dirichlet problem for elliptic equation via fuzzy approximation are presented. Moreover, the effect of the noisy data to the approximate solution of these problems is investigated. Conclusion and remarks are given in the last chapter.

Author

Dr. Nur Gazanfer

How to Cite

Nur Gazanfer (Master Thesis). Fuzzy transform and some of its applications, 2020, Zonguldak Bülent Ecevit University.

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