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Some useful procedures towards consistent preference modeling

dc.book.titleProceedings of the 7th Joint Conference on Information Sciences
dc.contributor.authorGómez González, Daniel
dc.contributor.authorMontero De Juan, Francisco Javier
dc.contributor.authorYáñez Gestoso, Francisco Javier
dc.contributor.editorWang, P.P.
dc.date.accessioned2023-06-20T21:11:30Z
dc.date.available2023-06-20T21:11:30Z
dc.date.issued2003
dc.description.abstractDecision making based upon valued preference relations is assuming that each decision maker is able to consistently manage intensity values for preferences, but this is indeed a di±cult task, even when dealing with few alternatives. Representation tools will therefore play a key role in order to help decision makers to understand their preference structure. This paper introduces a particular representation based upon classical crisp dimension theory,addressing some associated computational complexity problems, which will hopefully be useful within a valued framework.en
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipGobierno de España
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30658
dc.identifier.isbn0970789025
dc.identifier.urihttps://hdl.handle.net/20.500.14352/60928
dc.language.isoeng
dc.page.final142
dc.page.initial139
dc.page.total1780
dc.publication.placeEstados Unidos
dc.publisherAssociation for Intelligent Machinery
dc.relation.projectIDBMF2002-0281
dc.rights.accessRightsopen access
dc.subject.cdu510.64
dc.subject.ucmLógica simbólica y matemática (Matemáticas)
dc.subject.unesco1102.14 Lógica Simbólica
dc.titleSome useful procedures towards consistent preference modelingen
dc.typebook part
dcterms.references[1] B. Dushnik and E.W. Miller: Partially ordered sets. American Journal of Mathematics 63 (1941), 600{610. [2] J. Gonzalez-Pachon, D.Gomez, J.Montero and J.Yañez: Searching for the dimension of binary valued preference relations. Int. J. Approximate Reasoning (to appear). [3] J. Gonzalez-Pachon, D.Gomez, J.Montero and J.Yañez: Soft dimension theory. Fuzzy Sets and Systems (to appear). [4] J. Montero and J. Tejada: Some problems on the denition of fuzzy preference relation. Fuzzy Sets and Systems 20 (1986), 45-53. [5] P.K. Pattanaik: Voting and Collective Choice.Cambridge U.P., London, 1971. [6] A.K. Sen: Collective Choice and Social Welfare. Holden-Day, San Francisco, 1970. [7] W.T. Trotter: Combinatorics and Partially Ordered Sets. Dimension Theory. The Johns Hopkins University Press, Baltimore and London (1992). [8] M. Yannakakis: On the complexity of the partial order dimension problem. SIAM Journal of Algebra and Discrete Mathematics 3 (1982), 351-358. [9] J. Yañez and J. Montero: A poset dimension algorithm. Journal of Algorithms 30 (1999), 185-208.
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