Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices

Ignacio J. Navarro, José V. Martí and Víctor Yepes
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Ignacio J. Navarro: Department of Construction Engineering, Universitat Politècnica de València, 46022 València, Spain
José V. Martí: Institute of Concrete Science and Technology (ICITECH), Universitat Politècnica de València, 46022 València, Spain
Víctor Yepes: Institute of Concrete Science and Technology (ICITECH), Universitat Politècnica de València, 46022 València, Spain

Mathematics, 2021, vol. 9, issue 5, 1-19

Abstract: 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%.

Keywords: multicriteria decision-making tools; analytic hierarchy process; DEMATEL; neutrosophic logic; fuzzy decision making; sustainable design (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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