Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices
After the recent establishment of the Sustainable Development Goals and the Agenda 2030, the sustainable design of products in general and infrastructures in particular emerge as a challenging field for the development and application of multicriteria decision-making tools. Sustainability-related de...
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| Format: | Article |
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MDPI AG
2021-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/5/496 |
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| author | Ignacio J. Navarro José V. Martí Víctor Yepes |
| author_facet | Ignacio J. Navarro José V. Martí Víctor Yepes |
| author_sort | Ignacio J. Navarro |
| collection | DOAJ |
| description | After the recent establishment of the Sustainable Development Goals and the Agenda 2030, the sustainable design of products in general and infrastructures in particular emerge as a challenging field for the development and application of multicriteria decision-making tools. Sustainability-related decision problems usually involve, by definition, a wide variety in number and nature of conflicting criteria, thus pushing the limits of conventional multicriteria decision-making tools practices. The greater the number of criteria and the more complex the relations existing between them in a decisional problem, the less accurate and certain are the judgments required by usual methods, such as the analytic hierarchy process (AHP). The present paper proposes a neutrosophic AHP completion methodology to reduce the number of judgments required to be emitted by the decision maker. This increases the consistency of their responses, while accounting for uncertainties associated to the fuzziness of human thinking. The method is applied to a sustainable-design problem, resulting in weight estimations that allow for a reduction of up to 22% of the conventionally required comparisons, with an average accuracy below 10% between estimates and the weights resulting from a conventionally completed AHP matrix, and a root mean standard error below 15%. |
| first_indexed | 2024-03-09T06:11:23Z |
| format | Article |
| id | doaj.art-380279e53d164c96ac0e463a370c0a72 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T06:11:23Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-380279e53d164c96ac0e463a370c0a722023-12-03T11:58:14ZengMDPI AGMathematics2227-73902021-02-019549610.3390/math9050496Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison MatricesIgnacio J. Navarro0José V. Martí1Víctor Yepes2Department of Construction Engineering, Universitat Politècnica de València, 46022 València, SpainInstitute of Concrete Science and Technology (ICITECH), Universitat Politècnica de València, 46022 València, SpainInstitute of Concrete Science and Technology (ICITECH), Universitat Politècnica de València, 46022 València, SpainAfter the recent establishment of the Sustainable Development Goals and the Agenda 2030, the sustainable design of products in general and infrastructures in particular emerge as a challenging field for the development and application of multicriteria decision-making tools. Sustainability-related decision problems usually involve, by definition, a wide variety in number and nature of conflicting criteria, thus pushing the limits of conventional multicriteria decision-making tools practices. The greater the number of criteria and the more complex the relations existing between them in a decisional problem, the less accurate and certain are the judgments required by usual methods, such as the analytic hierarchy process (AHP). The present paper proposes a neutrosophic AHP completion methodology to reduce the number of judgments required to be emitted by the decision maker. This increases the consistency of their responses, while accounting for uncertainties associated to the fuzziness of human thinking. The method is applied to a sustainable-design problem, resulting in weight estimations that allow for a reduction of up to 22% of the conventionally required comparisons, with an average accuracy below 10% between estimates and the weights resulting from a conventionally completed AHP matrix, and a root mean standard error below 15%.https://www.mdpi.com/2227-7390/9/5/496multicriteria decision-making toolsanalytic hierarchy processDEMATELneutrosophic logicfuzzy decision makingsustainable design |
| spellingShingle | Ignacio J. Navarro José V. Martí Víctor Yepes Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices Mathematics multicriteria decision-making tools analytic hierarchy process DEMATEL neutrosophic logic fuzzy decision making sustainable design |
| title | Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices |
| title_full | Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices |
| title_fullStr | Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices |
| title_full_unstemmed | Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices |
| title_short | Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices |
| title_sort | neutrosophic completion technique for incomplete higher order ahp comparison matrices |
| topic | multicriteria decision-making tools analytic hierarchy process DEMATEL neutrosophic logic fuzzy decision making sustainable design |
| url | https://www.mdpi.com/2227-7390/9/5/496 |
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