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Open AccessArticle

Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices

1
Department of Construction Engineering, Universitat Politècnica de València, 46022 València, Spain
2
Institute of Concrete Science and Technology (ICITECH), Universitat Politècnica de València, 46022 València, Spain
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Author to whom correspondence should be addressed.
Academic Editor: David Greiner
Mathematics 2021, 9(5), 496; https://doi.org/10.3390/math9050496
Received: 19 January 2021 / Revised: 19 February 2021 / Accepted: 23 February 2021 / Published: 28 February 2021
(This article belongs to the Special Issue Optimization for Decision Making III)
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%. View Full-Text
Keywords: multicriteria decision-making tools; analytic hierarchy process; DEMATEL; neutrosophic logic; fuzzy decision making; sustainable design multicriteria decision-making tools; analytic hierarchy process; DEMATEL; neutrosophic logic; fuzzy decision making; sustainable design
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MDPI and ACS Style

Navarro, I.J.; Martí, J.V.; Yepes, V. Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices. Mathematics 2021, 9, 496. https://doi.org/10.3390/math9050496

AMA Style

Navarro IJ, Martí JV, Yepes V. Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices. Mathematics. 2021; 9(5):496. https://doi.org/10.3390/math9050496

Chicago/Turabian Style

Navarro, Ignacio J.; Martí, José V.; Yepes, Víctor. 2021. "Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices" Mathematics 9, no. 5: 496. https://doi.org/10.3390/math9050496

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