Bir Fuzzy Problemin Grafiksel Analizi Üzerine

Yıl 2024, Cilt: 14 Sayı: 4, 2328 - 2337, 15.12.2024

Hülya Gültekin Çitil

https://doi.org/10.31466/kfbd.1561335

Öz

Fuzzy Laplace dönüşüm metodu fuzzy diferansiyel denklemleri çözmek için çok kullanışlıdır ve bu metod pratikte önemli bir metoddur. Bu çalışma ikinci mertebeden bir fuzzy problem üzerinedir. Bu çalışmada, fuzzy Laplace dönüşüm metodunu kullanarak negatif fuzzy katsayılı bir fuzzy problemini araştırıyoruz. Genelleştirilmiş Hukuhara diferansiyellenebilirliği kullandığımız için, çözümler dört farklı durum altında incelenmiştir. Sayısal bir örnek verilmiştir. Çözümlerin grafikleri alfa seviye setleri için çizilmiştir. Çalışmanın sonunda sonuçlar sunulmuştur.

Anahtar Kelimeler

İkinci-mertebe fuzzy problem, fuzzy sayısı, genelleştirilmiş Hukuhara diferansiyellenebilirlik

On the Graphical Analysis of a Fuzzy Problem

Öz

The fuzzy Laplace transform method is very useful to solve fuzzy differential equations and this method is an important method in practice. This paper is on a second-order fuzzy problem. In this study, we research the fuzzy problem with negative fuzzy coefficient using the method of fuzzy Laplace transform. Since we use generalized Hukuhara differentiability, solutions are investigated under the four different situations. A numerical example is given. Graphics of the solutions are drawn for alpha level sets. Conclusions are presented at the end of the paper.

Anahtar Kelimeler

Second-order fuzzy problem, fuzzy number, generalized Hukuhara differentiability

Kaynakça

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