Measuring criteria weigths by means of dimension
Measuring criteria weights in multicriteria decision making is a key issue in order to amalgamate information when reality is being described from several different points of view. In this paper we propose a method for evaluating those weights taking advantage of Dimension Theory, which allows the r...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2099/3660 |
| Acceso en línea: | https://hdl.handle.net/2099/3660 |
| Access Level: | acceso abierto |
| Palabra clave: | Multicriteria decision analysis Valued preference relations Dimensio theory Matemàtica financera Classificació AMS::91 Game theory, economics, social and behavioral sciences::91B Mathematical economics |
| Sumario: | Measuring criteria weights in multicriteria decision making is a key issue in order to amalgamate information when reality is being described from several different points of view. In this paper we propose a method for evaluating those weights taking advantage of Dimension Theory, which allows the representation of the set of alternatives within a real space, provided that decision maker preferences satisfy certain consistency conditions. Such a representation allows a first information about possible underlying criteria in decision maker's mind. In particular, we propose to measure the importance of those underlying criteria by means of all possible representations associated to the dimension of the binary preference relations between criteria, each one being understood as a linear order of the set of alternatives. |
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