Assigning numerical scores to linguistic expressions
In this paper, we study different methods of scoring linguistic expressions defined on a finite set, in the search for a linear order that ranks all those possible expressions. Among them, particular attention is paid to the canonical extension, and its representability through distances in a graph...
| Authors: | , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2017 |
| Country: | España |
| Institution: | Universidad Pública de Navarra |
| Repository: | Academica-e. Repositorio Institucional de la Universidad Pública de Navarra |
| OAI Identifier: | oai:academica-e.unavarra.es:2454/26182 |
| Online Access: | https://hdl.handle.net/2454/26182 |
| Access Level: | Open access |
| Keyword: | Decision making Imprecision Qualitative scales Linguistic expressions Scores Orderings Aggregation |
| Summary: | In this paper, we study different methods of scoring linguistic expressions defined on a finite set, in the search for a linear order that ranks all those possible expressions. Among them, particular attention is paid to the canonical extension, and its representability through distances in a graph plus some suitable penalization of imprecision. The relationship between this setting and the classical problems of numerical representability of orderings, as well as extension of orderings from a set to a superset is also explored. Finally, aggregation procedures of qualitative rankings and scorings are also analyzed. |
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