Generalization of Neutrosophic Parametrized Soft Set Theory and Its Applications

Abstract

This study focuses on two important theories, neutrosophy and soft sets, in order to expand the application area of uncertainty problems that can be encountered especially in the fields of science and engineering. For this purpose, the virtual neutrosophic parametrized soft set theory are defined and some important properties of the theory are given. Then, it is proposed to use virtual neutrosophic parametrized soft sets to solve similar problems by using an algorithm to show that virtual neutrosophic parametrized soft set theory is more successful than neutrosophic parametrized soft set theory in approximation of uncertainty to the ideal solution. In addition, in this study, specific parameter sets make more alternative solutions available for solving uncertainty problems. This makes it easier to choose the most ideal solution from many solutions.

Keywords

• Neutrosophic parametrized soft set
• virtual neutrosophic parametrized soft set
• decision making

Nötrosofik Parametreli Esnek Kümelerin Genelleştirilmesi ve Uygulamaları

Abstract

Bu çalışma özellikle bilim ve mühendislik alanlarında karşılaşılabilen belirsizlik problemlerinin uygulama alanını genişletebilmek için iki önemli teori olan nötrosofi ve esnek kümelere odaklanmaktadır. Bunun için sanal nötrosofik parametreli esnek küme teorisi tanımlanarak önemli bazı özellikleri verilmiştir. Daha sonra, belirsizliğin ideal çözüme yaklaştırılmasında sanal nötrosofik parametreli esnek küme teorisinin nötrosofik parametreli esnek küme teorisinden daha başarılı olduğu bir algoritma yardımıyla gösterilerek benzeri problemlerin çözümü için sanal nötrosofik parametreli esnek kümelerin kullanılması önerilmiştir. Ayrıca çalışmadaki özel parametre kümeleri, belirsizlik problemlerinin çözümünde daha fazla alternatif çözüm yolunu mevcut kılmaktadır. Bu sayede birçok çözüm yolundan ideale en yakın olanı seçmeyi kolaylaştırmaktadır.

Keywords

• Nötrosofik parametreli esnek küme
• sanal nötrosofik parametreli esnek küme
• karar verme

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