Effective neutrosophic soft set theory and its application to decision-making
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..
| Medienart: |
Artikel |
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| Erscheinungsjahr: |
2023 |
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| Erschienen: |
2023 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:34 |
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| Enthalten in: |
Afrika matematika - 34(2023), 4 vom: 13. Aug. |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Karatas, Elif [VerfasserIn] |
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| Links: |
Volltext [lizenzpflichtig] |
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| Themen: |
Decision making |
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| Anmerkungen: |
© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| doi: |
10.1007/s13370-023-01101-4 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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| PPN (Katalog-ID): |
OLC2144993394 |
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| 520 | |a 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. | ||
| 650 | 4 | |a Decision making | |
| 650 | 4 | |a TOPSIS | |
| 650 | 4 | |a Neutrosophic sets | |
| 650 | 4 | |a Effective neutrosophic soft sets | |
| 700 | 1 | |a Yolcu, Adem |4 aut | |
| 700 | 1 | |a Ozturk, Taha Yasin |4 aut | |
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