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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 6

Intuitionistic fuzzy initial value problems - an application

Ömer Akın
Selami Bayeğ
Pages
1682–1694
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then we have given some numerical examples for the proposed method.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, by using the properties of $\alpha$ and $\beta$ cuts of intuitionistic fuzzy numbers, we have firstly proposed a method to find the general solution of the second order initial value problem with intuitionistic fuzzy initial values under intuitionistic Zadeh's extension principle interpretation.
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Key Findings & Data:In this paper, by using the properties of $\alpha$ and $\beta$ cuts of intuitionistic fuzzy numbers, we have firstly proposed a method to find the general solution of the second order initial value problem with intuitionistic fuzzy initial values under intuitionistic Zadeh's extension principle interpretation.
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Conclusion & Impact:Then we have given some numerical examples for the proposed method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:intuitionistic fuzzy set and numbers · intuitionistic characterization and stacking theorems · intuitionistic initial value problems

Abstract

In this paper, by using the properties of $\alpha$ and $\beta$ cuts of intuitionistic fuzzy numbers, we have firstly proposed a method to find the general solution of the second order initial value problem with intuitionistic fuzzy initial values under intuitionistic Zadeh's extension principle interpretation. Then we have given some numerical examples for the proposed method.

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Cite This Article

Akın, Ö., Bayeğ, S. (2022). Intuitionistic fuzzy initial value problems - an application. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 6, 1682–1694. https://ajindex.com/articles/529726

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