Genelleştirilmiş Küme Değerli Nötrosofik Beşli Sayılar Üzerine ANP Metodu

Year 2025, Volume: 8 Issue: 4, 1544 - 1571, 16.09.2025

Abdullah Kargın

https://doi.org/10.47495/okufbed.1565028

Abstract

Bu çalışmada, nötrosofik beşli sayılar üzerinde karar verme uygulamalarında ilk defa Analytic Network Process (ANP) yöntemi kullanılarak yeni bir yöntem geliştirildi. Bu yöntemin uygulama adımları ve güncel hayatta karşılaşılan problemlere nasıl uygulanacağı hakkında bilgi verildi. Böylece nötrosofik küme teorisinin yeni yapılarından biri olan nötrosofik beşli kümeler ile çok kriterli karar verme uygulamalarından biri olan ANP yönteminin birlikte kullanıldığı yeni bir yöntem geliştirildi. Bu yeni yöntem, klasik ANP yönteminin tutarlılık hesaplama, 3. ve 6. adımlarını içermektedir. Ayrıca bu uygulamanın kullanıldığı güncel hayattan örnek bir uygulama yapıldı. Örnek uygulamada yenilenebilir enerji kaynaklarının seçiminde çevresel, sosyal ve ekonomik kriterlerin birbirleri üzerindeki etkisi kurgusal veriler kullanılarak analiz edildi. Bu uygulama sonucunda çevresel kriterin daha etkili olduğu, bunu sırasıyla sosyal kriterin ve ekonomik kriterin takip ettiği sonucuna varıldı. Ayrıca, kriterler arasındaki karşılıklı bağımlılıklar kriterlerin ağırlıklarını değiştirdi. Kriterlerin ağırlıklarının değişmesine neden olan kriterlerin birbirine bağımlılıklarının karar verme sürecinde belirli bir sıralama değişikliğine yol açabileceği sonucuna varıldı. Ayrıca farklı operatörler ile elde edilen karşılaştırma matrislerinin tutarlılık oranlarının değişebileceği ve tutarsız bir matris ile tutarlı bir matris ile elde edilen önem sıralamalarının farklı olabileceği sonucuna da varıldı.

Keywords

ANP Metod , Yenilenebilir Enerji Kaynakları , Nötrosofik Teori , Nötrosofik Beşli Sayılar , Karar Verme Uygulamaları

ANP Method on Generalized Set-Valued Neutrosophic Quintuple Numbers

Abstract

In this study, a new method was developed by using the Analytic Network Process method (ANP) for the first time in decision making applications on neutrosophic quintuple numbers. Information about the application steps of this method and how to apply it to problems encountered in current life is given. Thus, a new method has been developed in which neutrosophic quintuple sets, one of the new structures of neutrosophic set theory, and ANP method, one of the applications of multi-criteria decision making, are used together. This new method includes consistency calculation, step 3 and step 6 of the classical ANP method. Also, an example application from current life was made. In the case study, the impact of environmental, social and economic criteria on each other in the selection of renewable energy sources was analyzed using fictitious data. As a result of this application, it was concluded that the environmental criterion was more effective, followed by the social criterion and the economic criterion, respectively. Moreover, the interdependencies between the criteria changed the weights of the criteria. It is concluded that the interdependencies of the criteria that cause changes in the weights of the criteria may lead to a certain ranking change in the decision-making process. It is also concluded that the consistency ratios of the comparison matrices obtained with different operators may vary and the importance rankings obtained with an inconsistent matrix and a consistent matrix may be different.

Keywords

ANP Method , Renewable Energy Sources , Neutrosophic Theory , Neutrosophic Quintuple Numbers , Decision Making Applications

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