Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure
Many decision problems manage linguistic information assessed through several ordered qualitative scales. In these contexts, the main problem arising is how to aggregate this qualitative information. In this paper, we present a multi-criteria decision-making procedure that ranks a set of alternative...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/3/458 |
| _version_ | 1811327750993084416 |
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| author | Raquel González del Pozo Luis C. Dias José Luis García-Lapresta |
| author_facet | Raquel González del Pozo Luis C. Dias José Luis García-Lapresta |
| author_sort | Raquel González del Pozo |
| collection | DOAJ |
| description | Many decision problems manage linguistic information assessed through several ordered qualitative scales. In these contexts, the main problem arising is how to aggregate this qualitative information. In this paper, we present a multi-criteria decision-making procedure that ranks a set of alternatives assessed by means of a specific ordered qualitative scale for each criterion. These ordered qualitative scales can be non-uniform and be formed by a different number of linguistic terms. The proposed procedure follows an ordinal approach by means of the notion of ordinal proximity measure that assigns an ordinal degree of proximity to each pair of linguistic terms of the qualitative scales. To manage the ordinal degree of proximity from different ordered qualitative scales, we provide a homogenization process. We also introduce a stochastic approach to assess the robustness of the conclusions. |
| first_indexed | 2024-04-13T15:13:37Z |
| format | Article |
| id | doaj.art-9be42be731ab491aa39f068a3d119649 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-13T15:13:37Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9be42be731ab491aa39f068a3d1196492022-12-22T02:41:56ZengMDPI AGMathematics2227-73902020-03-018345810.3390/math8030458math8030458Using Different Qualitative Scales in a Multi-Criteria Decision-Making ProcedureRaquel González del Pozo0Luis C. Dias1José Luis García-Lapresta2PRESAD Research Group, IMUVA, Departamento de Economía Aplicada, Universidad de Valladolid, 47011 Valladolid, SpainCeBER, Faculty of Economics, University of Coimbra, 3004-512 Coimbra, PortugalPRESAD Research Group, BORDA Research Unit, IMUVA, Departamento de Economía Aplicada, Universidad de Valladolid, 47011 Valladolid, SpainMany decision problems manage linguistic information assessed through several ordered qualitative scales. In these contexts, the main problem arising is how to aggregate this qualitative information. In this paper, we present a multi-criteria decision-making procedure that ranks a set of alternatives assessed by means of a specific ordered qualitative scale for each criterion. These ordered qualitative scales can be non-uniform and be formed by a different number of linguistic terms. The proposed procedure follows an ordinal approach by means of the notion of ordinal proximity measure that assigns an ordinal degree of proximity to each pair of linguistic terms of the qualitative scales. To manage the ordinal degree of proximity from different ordered qualitative scales, we provide a homogenization process. We also introduce a stochastic approach to assess the robustness of the conclusions.https://www.mdpi.com/2227-7390/8/3/458multiple criteria analysisqualitative scalesordinal proximity measuresstochastic analysis |
| spellingShingle | Raquel González del Pozo Luis C. Dias José Luis García-Lapresta Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure Mathematics multiple criteria analysis qualitative scales ordinal proximity measures stochastic analysis |
| title | Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure |
| title_full | Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure |
| title_fullStr | Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure |
| title_full_unstemmed | Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure |
| title_short | Using Different Qualitative Scales in a Multi-Criteria Decision-Making Procedure |
| title_sort | using different qualitative scales in a multi criteria decision making procedure |
| topic | multiple criteria analysis qualitative scales ordinal proximity measures stochastic analysis |
| url | https://www.mdpi.com/2227-7390/8/3/458 |
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