İki amaçlı ters çok kriterli sıralama problemi için hedef programlama modeli

Çok kriterli karar verme problemlerinin çözümlerinin bir kısmında, nesnelerin birden fazla kriter temelinde değerlendirilerek önceden belirlenmiş sınıflara atanması gerçekleştirilir. Bu tip problemler sınıfların sıralı olup olmamasına bağlı olarak çok kriterli sıralama veya sınıflandırma problemi olarak tanımlanırlar. Ters çok kriterli sıralama problemi ise, nesnelerin durumlarını değiştirebilecek olası eylemler arasında seçimler yapılması yoluyla nesnelerin atandığı sınıfların iyileştirilmesiyle ilgilenir. Bu çalışmada ters çok kriterli sıralama problemi için en düşük maliyetli iyileştirme ve belirli bir sınıfa atanan nesne sayısı hedefi arasında uzlaşık çözümü bulmayı amaçlayan bir hedef programlama modeli geliştirilmiştir. Geliştirilen model bina enerji sınıflarını iyileştirmeye yönelik bir uygulama çalışması üzerinde test edilerek elde edilen çözüm sonuçları değerlendirilmiştir.

Anahtar Kelimeler:

Ters çok kriterli sıralama problemi, hedef programlama, doğrusal sıralama modeli

Goal programming model for bi-objective inverse multiple criteria sorting problem

A type of multi-criteria decision-making problems is about the assignment of objects to predetermined classes by considering multiple criteria. Such problems are defined as multi-criteria sorting or classification problem based on whether the classes are ordered or not. Inverse multi-criteria sorting problem deals with the improvement of assigned classes of objects by determining the possible actions that can change the state of objects. In this study, a goal programming model of inverse multi-criteria ranking problem is proposed to find a compromise solution between the improvement at least cost and the number of objects assigned to a particular class. The proposed model is tested on an application of building energy class improvement and obtained solution results are evaluated.

Keywords:

Inverse multiple criteria sorting problem, goal programming, linear sorting model,

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