A Multi-Attribute Ranking Solutions Confirmation Procedure |
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Authors: | Domingos Moreira Cardoso Jorge Freire de Sousa |
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Affiliation: | (1) Departamento de Matemática, Univ. Aveiro, 3810-193 Aveiro, Portugal;(2) Univ. Porto, Faculdade de Engenharia, 4200-465 Porto, Portugal |
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Abstract: | Ranking problems arise from the knowledge of several binary relations defined on a set of alternatives, which we intend to rank. In a previous work, the authors introduced a tool to confirm the solutions of multi-attribute ranking problems as linear extensions of a weighted sum of preference relations. An extension of this technique allows the recognition of critical preference pairs of alternatives, which are often caused by inconsistencies. Herein, a confirmation procedure is introduced and applied to confirm the results obtained by a multi-attribute decision methodology on a tender for the supply of buses to the Porto Public Transport Operator. |
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Keywords: | multi-attribute ranking problems posets linear extensions |
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