Parallel Computing in Fuzzy Decision Making Systems

Abstract

In some decision problems, the numbers of alternatives, criteria and decision-makers are very high. Therefore the calculation process becomes more difficult, time consuming and complex. To achieve these complex tasks in a shorter time, popular technologies such as parallel computing are available to use. In this study, design and implementation of parallel computation in a fuzzy decision making system which consists of the methods: Fuzzy Analytic Hierarchy Process (FAHP) and TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) was investigated. Parallel computing was carried out in FAHP phase that is most intensive phase of calculation. Proposed method was tested in homogeneous and heterogeneous computers separately and results were discussed.

Keywords

• Fuzzy decision making, Parallel computing, Fuzzy analytic hierarchy process, TOPSIS.

Bulanık Karar Verme Sistemlerinde Paralel Hesaplama

Öz

Bazı karar problemlerinde, alternatif, kriter ve karar vericilerin sayısı çok yüksektir. Bu yüzden hesaplama işlemi daha zor, zaman alıcı ve karmaşık bir hal alır. Bu karmaşık işlemleri daha kısa sürede gerçekleştirilebilmek için paralel hesaplama gibi popüler teknolojiler mevcuttur. Bu çalışmada, Bulanık Analitik Hiyerarşi Süreci (BAHS) ve TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) yöntemlerinden oluşan bulanık bir karar verme sisteminde paralel hesaplamanın tasarlanması ve gerçekleştirimi incelenmiştir. Paralel hesaplama, hesaplamanın en yoğun olduğu BAHS adımında gerçekleştirilmiştir. Önerilen yöntem, homojen ve heterojen bilgisayarlarda ayrı ayrı denenmiş ve sonuçlar tartışılmıştır.

Anahtar Kelimeler

• Bulanık karar verme, Paralel hesaplama, Bulanık analitik hiyerarşi süreci, TOPSIS.

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