A dimension-based representation in multicriteria decision making
| dc.book.title | Joint EUSFLAT-LFA 2005 : Fourth Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2005) and 11 Recontrés Phrancophones sur la Logique Floue et ses Applications (LFA 2005), September 7-9, Barcelona, Spain / Universitat Politècnica | |
| dc.contributor.author | Gómez González, Daniel | |
| dc.contributor.author | Montero De Juan, Francisco Javier | |
| dc.contributor.author | Yáñez Gestoso, Francisco Javier | |
| dc.contributor.editor | Montseny, E. | |
| dc.contributor.editor | Sobrevilla, P. | |
| dc.date.accessioned | 2023-06-20T13:41:38Z | |
| dc.date.available | 2023-06-20T13:41:38Z | |
| dc.date.issued | 2005 | |
| dc.description | Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2005) and Recontrés Prancophones sur la Logique Floue et ses Applications (LFA 2005) Fourth (EUSFLAT 2005) and 11 (LFA 2005) 2005 Barcelona, Spain European Society for Fuzzy Logic and Technology; Universitat Politècnica de Catalunya Organizer; International Fuzzy Systems Association | en |
| dc.description.abstract | Dimension Theory allows the representation of any finite set of alternatives in a real space, provided that the associated preference relation defines a partial order set. Such a representation can be very useful whenever criteria are not known,are therefore we can not even address the problem of evaluating their respective weights. In this paper we propose that the importance of underlying criteria can be approached taking into account those possible representations associated to the dimension of the binary preference relations between criteria. | en |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/29107 | |
| dc.identifier.isbn | 84-7653-872-3 | |
| dc.identifier.officialurl | http://www.eusflat.org/proceedings/EUSFLAT-LFA_2005/papers%20definitivos/JEL237.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/53409 | |
| dc.language.iso | eng | |
| dc.page.final | 915 | |
| dc.page.initial | 910 | |
| dc.publication.place | Barcelona | |
| dc.publisher | Eduard Montseny & Pilar Sobrerilla | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 519.8 | |
| dc.subject.keyword | Multicriteria Decision Analysis | |
| dc.subject.keyword | Val-ued Preference Relations | |
| dc.subject.keyword | Dimension Theory. | |
| dc.subject.ucm | Investigación operativa (Matemáticas) | |
| dc.subject.unesco | 1207 Investigación Operativa | |
| dc.title | A dimension-based representation in multicriteria decision making | en |
| dc.type | book part | |
| dcterms.references | [1] J.P. Doignon and J. Mitas: Dimension of valued relations. European Journal of Oper-ational Research 125 (2000), 571{587. [2] B. Dushnik and E.W. Miller: Partially or-dered sets. American Journal of Mathematics 63 (1941), 600{610. [3] J. Figueira and B. Roy: Determining the weights of criteria in the ELECTRE type methods with a revised Simon's procedure. European Journal Of Operational Research 139 (2002), 317-326. [4] J.C. Fodor and M. Roubens: Structure of valued binary relations. Mathematical Social Sciences 30 (1995), 71{94. [5] J. Gonzalez-Pachon, D. Gomez, J. Montero and J. Yañez: Searching for the dimension of binary valued preference relations. Inter-national Journal of Approximate Reasoning 33 (2003) 133-157. [6] J. Gonzalez-Pachon, D. Gomez, J. Montero and J. Yañez. Soft dimension theory. Fuzzy Sets and Systems 137 (2003) 137-149. [7] D. Gomez, J. Montero, J. Yanez, J.Gonzalez-Pachon and V. Cutello. Dimen-sional representation of valued preference re-lations. International Journal of General Sys-tems. (2004) [8] R. L. Keeny and H. Raiffa. Decision with multiple objetives- preferences and valued tradeoffs. Cambridge University Press, Cam-bridge (1993). [9] B. Roy: Decision aid and decision making.European Journal of Operational Research 45 (1990), 324{331. [10] T. L. Saaty. The analytic hierarchy process,MacGraw Hill, New York. (1980) [11] J. Simos. L'evaluation environnementale: Un processus cognitif ngoci Thse de doctorat,DGF-EPFL, Lausanne. (1990). [12] E. Szpilrajn: Sur l'extension de l'ordre par-tiel.Fundamenta Mathematicae 16 (1930),386{389. [13] W.T. Trotter: Combinatorics and Partially Ordered Sets. Dimension Theory. The Johns Hopkins University Press, Baltimore and London (1992). [14] J. Yañez and J. Montero: A poset dimension algorithm. Journal of Algorithms 30 (2000),185{208. | |
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