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

Yıl 2020, Cilt: 35 Sayı: 4, 1729 - 1736, 21.07.2020

Billur Ecer , Mehmet Kabak , Metin Dağdeviren

https://doi.org/10.17341/gazimmfd.539218

Cited By: 2

Öz

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.

Anahtar Kelimeler

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

İki amaçlı ters çok kriterli sıralama problemi için hedef programlama modeli

Öz

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

Kaynakça

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