Distance-Based Similarity Measure Between Interval Neutrosophic Sets and Multi Criteria Decision Making Method

Abstract

In this paper, the weighted similarity measure based on Hamming and Euclidean distances is extended to interval neutrosophic sets. It has been previously used for single valued neutrosophic sets. Then a multicriteria decision-making (MCDM) method is established, in which the criterion weights are known. In the problem the values of each alternative corresponding to the criteria are given with interval neutrosophic numbers. Finally, alternatives are ranked by using the weighted similarity measure between the ideal alternative and each alternative, and the best one is determined.

Keywords

• similarity measure,interval neutrosophic set,Hamming and Euclidean distances,multi criteria decision-making

Aralık Nötrosofik Kümeler Arasında Mesafe Tabanlı Benzerlik Ölçüsü ve Çok Kriterli Karar Verme Metodu

Abstract

Bu makalede, Hamming ve Öklid uzaklığa dayanan ağırlıklı benzerlik ölçüsü, aralık nötrosofik kümelere genişletilmiştir. Bu ölçü daha önce tek değerli nötrosofik kümeler için kullanılmıştır. Daha sonra kriter ağırlıkları bilinen çok kriterli bir karar verme metodu oluşturulmuştur. Problemde, her bir alternatifin kriterlere göre değerleri aralık nötrosofik sayılarla verilmiştir. Son olarak ideal alternatif ile her bir alternatif arasında ağırlıklı benzerlik ölçüsü kullanılarak alternatifler sıralanmış ve en iyi alternatif belirlenmiştir.

Keywords

• Hamming ve Öklid uzaklık,benzerlik ölçüsü,aralık nötrosofik küme,çok kriterli karar verme

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