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On partial comparability and fuzzy preference-aversion models

dc.book.titleFoundations of Intelligent Systems
dc.contributor.authorFranco De Los Ríos, Camilo A.
dc.contributor.authorRodríguez González, Juan Tinguaro
dc.contributor.authorMontero De Juan, Francisco Javier
dc.contributor.editorWang, Yinglin
dc.contributor.editorLi, Tianrui
dc.date.accessioned2023-06-20T05:46:29Z
dc.date.available2023-06-20T05:46:29Z
dc.date.issued2012
dc.descriptionProceedings of the Sixth International Conference on Intelligent Systems and Knowledge Engineering, Shanghai, China, Dec 2011 (ISKE2011)
dc.description.abstractA general overview of partial comparability and preference theory allows examining the notion of bipolarity and its role in the development of some general preference structures. This bipolar approach comes natural to the framework of decision theory, where different preference structures can be initially explored according to the type of bipolar model that they follow. Therefore, we compare two general preference structures, the first one, referred to as the PCT structure, which results from a well known axiomatic model for partial comparability theory, and the second one, referred to as the P-A structure, which extends one particular standard fuzzy preference model, such that some basic differences as well as particular similarities are clearly identified.en
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/28642
dc.identifier.citationFranco, C., Montero, J., Rodríguez, J.T.: On Partial Comparability and Fuzzy Preference-Aversion Models. En: Wang, Y. y Li, T. (eds.) Foundations of Intelligent Systems. pp. 307-316. Springer Berlin Heidelberg, Berlin, Heidelberg (2011)
dc.identifier.doi10.1007/978-3-642-25664-6_36
dc.identifier.isbn978-3-642-25663-9
dc.identifier.officialurlhttps//doi.org/10.1007/978-3-642-25664-6_36
dc.identifier.relatedurlhttp://link.springer.com/chapter/10.1007%2F978-3-642-25664-6_36
dc.identifier.urihttps://hdl.handle.net/20.500.14352/45539
dc.issue.number122
dc.language.isoeng
dc.page.final316
dc.page.initial307
dc.page.total746
dc.publication.placeBerlin
dc.publisherSpringer- verlag
dc.relation.ispartofseriesAdvances in Intelligent and Soft Computing
dc.relation.projectIDTIN2009-07901
dc.rights.accessRightsrestricted access
dc.subject.cdu519.8
dc.subject.keywordPreference-aversion
dc.subject.keywordFuzzy preference structures
dc.subject.keywordPartial comparability
dc.subject.ucmInvestigación operativa (Matemáticas)
dc.subject.unesco1207 Investigación Operativa
dc.titleOn partial comparability and fuzzy preference-aversion models
dc.typebook part
dc.volume.numberI
dcterms.references1. Aumann, R.: Utility theory without the completeness axiom. Econometrica 30, 445–462 (1962) 2. Dubois, D., Prade, H.: An introduction to bipolar representations of information and preference. International Journal of Intelligent Systems 23, 866–877 (2008) 3. Fodor, J., Roubens, M.: Fuzzy Preference Modelling and Multicriteria Decision Support. Kluwer Academic Publishers, Dordrecht (1994) 4. Franco, C., Montero, J., Rodríguez, J.T.: Aggregation weights for a preference-aversion model. In: Proceedings World Conference on Soft Computing, San Francisco (2010),paper 199 5. Goguen, J.: The logic of inexact concepts. Synthese 19, 325–373 (1969) 6. Grabisch, M., Labreuche, C.: A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid. A Quarterly Journal of Operations Research 6, 1–44 (2008) 7. Kahneman, D., Tversky, A.: Prospect theory: an analysis of decision under risk. Econometrica 47, 263–291 (1979) 8. Montero, J., Gómez, D., Bustince, H.: On the relevance of some families of fuzzy sets. Fuzzy Sets and Systems 158, 2429–2442 (2007) 9. Montero, J., Tejada, J., Cutello, C.: A general model for deriving preference structures from data. European Journal of Operational Research 98, 98–110 (1997) 10. Perny, P., Roy, B.: The use of fuzzy outranking relations in preference modelling. Fuzzy Sets and Systems 49, 33–53 (1992) 11. Perny, P., Tsoukiàs, A.: On the continuous extension of a four valued logic for preference modeling. In: Proceedings IPMU Conference, Paris, France, July 6-10, pp. 302–309 (1998) 12. Rodríguez, J.T., Franco, C., Montero, J.: On the relationship between bipolarity and fuzziness. In: Proceedings EUROFUSE Conference, Régua, Portugal, September 21-23 (2011) 13. Roy, B.: Partial preference analysis and decision-aid: the fuzzy outranking relation concept. In: Bell, D., Keeney, R., Raiffa, H. (eds.) Conflicting Objectives in Decisions. Wiley and Sons, New York (1977) 14. Savage, L.: The Foundations of Statistics. Dover Publications, New York (1972) 15. Schweizer, B., Sklar, A.: Probabilistic Metric Spaces. North-Holland, Amsterdam (1983) 16. Smith, A.: The Theory of Moral Sentiments. Cambridge University Press, Cambridge (2002) 17. Trillas, E.: On a model for the meaning of predicates (A naïve approach to the genesis of fuzzy sets). In: Seising, R. (ed.) Views of Fuzzy Sets and Systems from Different Perspectives, pp. 175–205. Springer (2009) 18. Tsoukiás, A., Vincke, P.: A new axiomatic foundation of partial comparability. Theory and Decision 39, 79–114 (1995) 19. Tsoukiàs, A., Vincke, P.: Extended preference structures in MultiCriteria Decision Aid. In: Multicriteria Analysis. Springer, Berlin (1997) 20. Tversky, A., Kahneman, D.: Advances in prospect theory: cumulative representation of uncertainty. Journal of Risk and Uncertainty 5, 297–323 (1992) 21. Von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1953) 22. Zadeh, L.: Fuzzy sets. Information and Control 8, 338–353 (1965)
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