Çok Kriterli Grup Karar Verme için Trapezoidal Pisagor Bulanık AHP–PROMETHEE Bütünleşik Yaklaşımı: Tedarikçi Seçimi Örneği

Öz

Çok kriterli karar verme problemleri kesin olmayan ve öznel bilgiler içermekte olup, bu durum gelişmiş bulanık modelleme yaklaşımlarının kullanılmasını gerekli kılmaktadır. Yaygın olarak kullanılan çok kriterli karar verme yöntemleri arasında PROMETHEE yöntemi, sezgisel üstünlük yapısı ve güçlü ayırt edicilik özelliği nedeniyle öne çıkmaktadır. Bu çalışmada, PROMETHEE yöntemi trapezoidal Pythagorean bulanık yapı altında genişletilmiştir. Önerilen çerçevede, karar vericilerin değerlendirmeleri trapezoidal Pythagorean bulanik sayılar kullanılarak temsil edilmektedir. Trapezoidal Pythagorean bulanik değerlendirmelerin karşılaştırılmasında Hamming uzaklığına dayalı ikili karşılaştırma yaklaşımı sıralama sürecine entegre edilmiştir. Ayrıca, kriter ağırlıklarının belirlenmesinde Analitik Hiyerarşi Süreci kullanılarak grup değerlendirme problemleri için bütünleşik bir karar verme sureci oluşturulmuştur. Literatürde veri seti sunulan mevcut bir çalışma ile karşılaştırmalı analiz yapılarak karar verme modelinin uygulanabilirliği gösterilmiştir. Ayrıca, varsayımsal veriler kullanılarak modelin uygulanabilirliği bir tedarikçi seçimi örnek uygulaması üzerinden gösterilmiştir.

Anahtar Kelimeler

• Çok kriterli karar verme
• PROMETHEE
• trapezoidal Pythagorean bulanık kümeler
• Analitik Hiyerarşi Süreci

A Trapezoidal Pythagorean Fuzzy AHP–PROMETHEE Framework for Multi-Criteria Group Decision Making with an Illustrative Supplier Selection Example

Öz

Multi-criteria decision-making problems often involve uncertain, imprecise, and subjective information, requiring advanced fuzzy modeling approaches. Among widely used decision-making techniques, the Preference Ranking Organization Method for Enrichment of Evaluations is valued for its intuitive outranking structure and strong discriminative capability. This study proposes an extension of this method under a trapezoidal Pythagorean fuzzy environment. In the proposed framework, decision makers’ evaluations are represented using trapezoidal Pythagorean fuzzy numbers. A pairwise comparison approach based on the Hamming distance is adopted and integrated into the ranking procedure. In addition, the Analytic Hierarchy Process is used to determine criteria weights, resulting in an integrated group decision-making framework. The effectiveness of the proposed method is demonstrated through comparative analysis using data reported in an existing study and through a supplier selection illustration based on hypothetical data.

Anahtar Kelimeler

• Multi-criteria decision-making
• PROMETHEE
• trapezoidal Pythagorean fuzzy sets
• Analytic Hierarchy Process

Kaynakça

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