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Journals / Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi / 2026 / Cilt: 12 Sayı: 1

Intuitionistic Fuzzy One-Way ANOVA Model and an Application

Sezgisel Bulanık Tek-Yönlü ANOVA Modeli ve Bir Uygulama

Zeynep Gökkuş(KASTAMONU ÜNİVERSİTESİ, MESLEK YÜKSEKOKULU)0000-0003-2767-8420
Sevil Şentürk(ESKİŞEHİR TEKNİK ÜNİVERSİTESİ, FEN FAKÜLTESİ, İSTATİSTİK BÖLÜMÜ)0000-0002-9503-7388
Pages
257–265
Publication Date
2025-05-30
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AI Summary & Key Takeaways

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

The results obtained were supported and interpreted by comparative analysis.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Analysis of variance (ANOVA) models are essential techniques used in statistical studies when comparing the means of more than two independence groups.
📊
Key Findings & Data:In this study, the theoretical structure of the intuitionistic fuzzy one-way ANOVA model was explained and illustrated with an application.
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Conclusion & Impact:The results obtained were supported and interpreted by comparative analysis.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Sezgisel Bulanık Sayılar · Tek-Yönlü Varyans Analizi (ANOVA) · Bulanık Kümeler

Abstract

Analysis of variance (ANOVA) models are essential techniques used in statistical studies when comparing the means of more than two independence groups. ANOVA models have been widely used in scientific research in almost every field for many years. In the one-way ANOVA model, there is one factor (independent variable) and various levels or experiments of this factor. The aim here is to analyze the effects of the experiments on the dependent variable. Different fuzzy ANOVA models were developed to model observations obtained under uncertainty and represented by fuzzy numbers. When the studies in the literature were examined statistically, it was seen that there were few studies on the intuitionistic fuzzy ANOVA models. In this study, the theoretical structure of the intuitionistic fuzzy one-way ANOVA model was explained and illustrated with an application. The results obtained were supported and interpreted by comparative analysis.

Özet

Varyans analizi (ANOVA) modelleri ikiden fazla bağımsız grubun ortalamalarının karşılaştırılmasında istatistiksel çalışmalarda kullanılan önemli yöntemlerdir. Uzun yıllardır hemen her alanda, bilimsel araştırmalarda ANOVA modelleri yaygın olarak kullanılmaktadır. Tek-yönlü ANOVA modelinde tek faktör (bağımsız değişken) ve bu faktörün çeşitli düzeyleri ya da denemeleri söz konusu olmaktadır. Burada amaç denemelerin bağımlı değişken üzerindeki etkilerini incelemektir. Belirsizlik altında elde edilen ve bulanık sayılarla temsil edilen gözlemlerin modellenmesi için de farklı bulanık ANOVA modelleri geliştirilmiştir. Literatürde yapılan çalışmalar istatistiksel olarak incelendiğinde, sezgisel bulanık ANOVA modellerine ilişkin çalışmaların az sayıda olduğu görülmüştür. Bu çalışmada sezgisel bulanık tek-yönlü ANOVA modelinin teorik yapısı anlatılmış ve bir örnek uygulama ile açıklanmıştır. Elde edilen sonuçlar karşılaştırma analizi ile desteklenmiş ve yorumlanmıştır.

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Cite This Article

Gökkuş, Z., Şentürk, S. (2025). Intuitionistic Fuzzy One-Way ANOVA Model and an Application. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, Cilt: 12 Sayı: 1, 257–265. https://doi.org/10.35193/bseufbd.1521559

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