A Novel Approach to Weighting Criteria Based on Rank Stability

Öz

In Multi-Criteria Decision Making (MCDM), the weighting of the criteria is at least as important as the normalization of the decision matrix and the procedure for ranking the alternatives. The slightest uncertainty in the weights of criteria poses a major problem for decision-makers, especially when there is little difference between the assessments of alternatives. One crucial question is which approaches should be applied to a given MCDM problem? This question may be answered by considering the insensitivity of rankings of the alternatives to changes in the weights of criteria. We propose a novel approach to criteria weighting that focuses solely on the insensitivity of rankings to changes in the weights of criteria. Simulations reveal that this approach is superior to other existing methods in terms of ranking stability. A real-life example concerning the digital readiness of the European Union reveals that this new approach yields beneficial results in different aspects of decision-making.

Anahtar Kelimeler

• decision-making
• objective weighting
• MCDM
• rank stability
• digital readiness.

Sıralama İstikrarına Dayalı Kriterlerin Ağırlıklandırılmasına Yönelik Yeni Bir Yaklaşım

Öz

Çok Kriterli Karar Verme'de (ÇKKV), kriterlerin ağırlıklandırılması, karar matrisinin normalizasyonu ve alternatifleri sıralama prosedürü kadar önemlidir. Kriter ağırlıklarındaki en ufak belirsizlik, özellikle alternatiflerin değerlendirmeleri arasında çok az fark olduğunda, karar vericiler için büyük bir sorun teşkil eder. Önemli sorulardan biri, belirli bir ÇKKV problemine hangi yaklaşımların uygulanması gerektiğidir? Bu soru, alternatiflerin sıralamalarının kriter ağırlıklarındaki değişikliklere duyarsızlığı dikkate alınarak cevaplanabilir. Kriter ağırlıklandırmasına, yalnızca sıralamaların kriter ağırlıklarındaki değişikliklere duyarsızlığına odaklanan yeni bir yaklaşım öneriyoruz. Simülasyonlar, bu yaklaşımın sıralama istikrarı açısından diğer mevcut yöntemlerden üstün olduğunu ortaya koymaktadır. Avrupa Birliği'nin dijital hazırbulunuşluğuna ilişkin gerçek hayattan bir örnek, bu yeni yaklaşımın karar vermenin farklı yönlerinde faydalı sonuçlar verdiğini ortaya koymaktadır.

Anahtar Kelimeler

• karar alma
• nesnel ağırlıklandırma
• sıralama istikrarı
• dijital hazırlık.
• ÇKKV

Kaynakça

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