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Effective neutrosophic soft set theory and its application to decision-making

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Abstract

The neutrosophic soft set is the most powerful and effective extension of soft sets, which deals with parameterized values of options since it also takes into account uncertain membership and negative membership degrees. Many decision-making models have been created about this set structure, but these models have been processed over the criteria and options and external effects have not been taken into account. But even in daily life, although a option often seems to depend on a parameter, it is obvious that some external influences supporting these parameters are also taken into account. For example, if a disease is to be diagnosed, the symptoms are examined first, but also the patient’s medical history, severity of symptoms, genetic and environmental factors, countries recently visited, etc. taking into account a decision. In this study, an effective neutrosophic soft cluster structure will be created that takes into account external effects and assigns truth-membership, indeterminacy-membership and falsity-membership degrees to them. In addition, the Topsis method, which has a very important place in decision-making problems on this structure, will be applied on a hypothetical example.

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A scenario has been adapted to show the real-life place of the theoretical knowledge presented in this article. This scenario is hypothetical so there is no data source to report.

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Correspondence to Elif Karatas.

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Karatas, E., Yolcu, A. & Ozturk, T.Y. Effective neutrosophic soft set theory and its application to decision-making. Afr. Mat. 34, 62 (2023). https://doi.org/10.1007/s13370-023-01101-4

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