Analysis of Consistency Indices of Pairwise Comparison Methods

Year 2023, Volume: 16 Issue: 2, 384 - 405, 31.08.2023

Veysel Çoban

https://doi.org/10.18185/erzifbed.1241221

Abstract

İkili karşılaştırma yöntemi, karar verme sürecinde faktörlerin karşılıklı, kolay ve etkili bir şekilde değerlendirilmesinde önemli bir araçtır. Tutarlılık indeksi ve tutarlılık oran değerleri karar vericiler tarafından yapılan ikili karşılaştırmaların geçişlilik ve karşılıklılık özelliklerine göre yapılıp yapılmadığını belirler. Literatürdeki tutarlılık ölçüm yöntemleri, ikili karşılaştırmaların geçerliliğini değerlendirmek için farklı hesaplama yöntemleri kullanır. Literatürden seçilen 14 farklı tutarlılık yöntemi, ikili karşılaştırmaların geçerliliğini kabul etmek için farklı tutarlılık indeksi ve eşik değerleri tanımlar. Bu çalışma aynı ve farklı ikili karşılaştırma matrisi boyutlarında 14 farklı tutarlılık yönteminin tutarlılık indekslerinin davranışını ve ilişkilerini gözlemlemeyi amaçlar. Yöntemlerin tutarlılık indeksleri tüm boyutlarda karşılaştırılır ve yöntemlerin farklı boyutlardaki rassal indeksleri hesaplanır. Saaty'nin tutarlılık oranı eşik değerine (≤0.1) göre 8 farklı boyutta 14 farklı yöntemin tutarlılık indeksleri için eşik değerler tanımlanır. Böylece karar vericilerin farklı yöntemlerde ve farklı boyutlarda ikili karşılaştırmaların tutarlılığını daha kolay belirlemelerine yardımcı olunur.

Keywords

pairwise comparison matrix, consistency index, random index, consistency ratio, consistency threshold value

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