GRUP KARARI VERMEDE YARARLANILAN FARKLI FUZZY TOPSIS YÖNTEMLERİNİN KARŞILAŞTIRILMASI VE BİR UYGULAMA

Öz

Bulanık ortamlarda grup kararı vermede kullanılan Fuzzy TOPSIS yöntemi Çok Kriterli Karar Verme (ÇKKV) yöntemlerinden birisidir. Yöntemin uygulanabilmesi için karar vericilere (KV), alternatiflere ve karar kriterlerine gereksinim duyulur. Yöntemin temelini ideal çözümün Fuzzy Pozitif İdeal Çözüm’den (FPİÇ) en yakın, Fuzzy Negatif İdeal Çözüm’den (FNİÇ) ise en uzak mesafede olması oluşturur. FPİÇ ve FNİÇ kullanılarak alternatiflerin yakınlık katsayıları hesaplanır. Yakınlık katsayıları alternatiflerin skorlarını ifade eder. Yakınlık katsayılarına göre alternatifler sıralanır. Çalışmada farklı algoritmalara sahip iki Fuzzy TOPSIS yöntemi karşılaştırılmıştır. Bu amaçla KV’lerin değerlendirmeleri üçgen fuzzy sayılara dönüştürülmüştür. Çalışmanın sonucunda alternatiflerin sıralamasının değişmediği görülmüştür.

Anahtar Kelimeler

• Fuzzy TOPSIS, Üçgen fuzzy sayılar, Karar verme

COMPARISON OF FUZZY TOPSIS METHODS USED GROUP DECISION MAKING AND AN APPLICATION

Öz

Fuzzy TOPSIS method used group decision making in fuzzy environment is one of the Multiple Criteria Decision Making (MCDM) methods. It is needed to decision makers (DM), alternatives and decision criteria in order to apply this method. Foundation of the method is the ideal solution is the shortest distance from Fuzzy Positive Ideal Solution (FPIS) and the farthest distance from Fuzzy Negative Ideal Solution (FNIS). Using FPIS and FNIS, closeness coefficients of alternatives are evaluated. Closeness coefficients express scores of the alternatives. According to closeness coefficients, alternatives are ranked from the best to the worst. In this study, two fuzzy TOPSIS methods having different algorithms are compared. To this purpose, firstly assessments of decision makers are converted to triangular fuzzy numbers. It is seen at the end of the study that ranking orders of alternatives don’t change.

Anahtar Kelimeler

• Fuzzy TOPSIS, triangular fuzzy numbers, decision making.

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