Intuitionistic Fuzzy One-Way ANOVA Model and an Application

Yıl 2025, Cilt: 12 Sayı: 1, 257 - 265, 30.05.2025

Zeynep Gökkuş , Sevil Şentürk

https://doi.org/10.35193/bseufbd.1521559

Öz

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.

Anahtar Kelimeler

Intuitionistic Fuzzy Numbers , One-Way Analysis of Variance (ANOVA) , Fuzzy Sets

Sezgisel Bulanık Tek-Yönlü ANOVA Modeli ve Bir Uygulama

Öz

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.

Anahtar Kelimeler

Sezgisel Bulanık Sayılar , Tek-Yönlü Varyans Analizi (ANOVA) , Bulanık Kümeler

Teşekkür

Bu çalışmayı destekleyen Eskişehir Teknik Üniversitesi Araştırma Projeleri Komisyonu’na 23ADP094 numaralı Bilimsel Araştırma Projesi kapsamında verdikleri destek için teşekkür ederiz

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