- -

Numerical representability of fuzzy total preorders

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Numerical representability of fuzzy total preorders

Mostrar el registro completo del ítem

Agud Albesa, L.; Catalan, R.; Diaz, S.; Indurain, E.; Montes, S. (2012). Numerical representability of fuzzy total preorders. International Journal of Computational Intelligence Systems. 5(6):996-1009. https://doi.org/10.1080/18756891.2012.747653

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/36684

Ficheros en el ítem

[Cerrado]
Nombre: Agud;Esteban Indurain ...
Tamaño: 755.5Kb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor

Metadatos del ítem

Título: Numerical representability of fuzzy total preorders
Autor: Agud Albesa, Lucia Catalan, RG Diaz, S Indurain, E Montes, S
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] We introduce the concept of a fyzzy total preorder. Then we analyze its numerical representability through a real-valued order-preserving function defined for each alpha-cut
Palabras clave: crisp and fuzzy relations , numerical representability , alpha-cuts
Derechos de uso: Cerrado
Fuente:
International Journal of Computational Intelligence Systems. (issn: 1875-6883 ) (eissn: 1875-6883 )
DOI: 10.1080/18756891.2012.747653
Editorial:
Taylor & Francis: STM, Behavioural Science and Public Health Titles
Versión del editor: http://www.tandfonline.com/doi/abs/10.1080/18756891.2012.747653#.Upc1Yif-s5g
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2009-12872-C02-02/ES/Estructuras Ordenadas Y Topologia: Insercion De Funciones, Metricas Y Uniformidades Fuzzy Y Topologia Sin Puntos./
info:eu-repo/grantAgreement/MICINN//MTM2010-17844/ES/MODELIZACION DE LA INCERTIDUMBRE Y LA IMPRECISION EN LA TOMA DE DECISIONES/
Agradecimientos:
This work has been supported by the research projects MTM2009-12872-C02-02 and MTM2010-17844 (Spain).
Tipo: Artículo

References

Montes, I., Díaz, S., & Montes, S. (2010). On complete fuzzy preorders and their characterizations. Soft Computing, 15(10), 1999-2011. doi:10.1007/s00500-010-0630-y

Díaz, S., De Baets, B., & Montes, S. (2010). On the Ferrers property of valued interval orders. TOP, 19(2), 421-447. doi:10.1007/s11750-010-0134-z

Díaz, S., Induráin, E., De Baets, B., & Montes, S. (2011). Fuzzy semi-orders: The case of t-norms without zero divisors. Fuzzy Sets and Systems, 184(1), 52-67. doi:10.1016/j.fss.2011.01.006 [+]
Montes, I., Díaz, S., & Montes, S. (2010). On complete fuzzy preorders and their characterizations. Soft Computing, 15(10), 1999-2011. doi:10.1007/s00500-010-0630-y

Díaz, S., De Baets, B., & Montes, S. (2010). On the Ferrers property of valued interval orders. TOP, 19(2), 421-447. doi:10.1007/s11750-010-0134-z

Díaz, S., Induráin, E., De Baets, B., & Montes, S. (2011). Fuzzy semi-orders: The case of t-norms without zero divisors. Fuzzy Sets and Systems, 184(1), 52-67. doi:10.1016/j.fss.2011.01.006

INDURÁIN, E., MARTINETTI, D., MONTES, S., DÍAZ, S., & ABRÍSQUETA, F. J. (2011). ON THE PRESERVATION OF SEMIORDERS FROM THE FUZZY TO THE CRISP SETTING. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 19(06), 899-920. doi:10.1142/s0218488511007398

Roubens, M., & Vincke, P. (1985). Preference Modelling. Lecture Notes in Economics and Mathematical Systems. doi:10.1007/978-3-642-46550-5

Fodor, J., & Roubens, M. (1994). Fuzzy Preference Modelling and Multicriteria Decision Support. doi:10.1007/978-94-017-1648-2

Klement, E. P., Mesiar, R., & Pap, E. (2000). Triangular Norms. Trends in Logic. doi:10.1007/978-94-015-9540-7

Van de Walle, B., De Baets, B., & Kerre, E. (1998). Annals of Operations Research, 80, 105-136. doi:10.1023/a:1018903628661

Nurmi, H. (1981). Approaches to collective decision making with fuzzy preference relations. Fuzzy Sets and Systems, 6(3), 249-259. doi:10.1016/0165-0114(81)90003-8

Dutta, B. (1987). Fuzzy preferences and social choice. Mathematical Social Sciences, 13(3), 215-229. doi:10.1016/0165-4896(87)90030-8

Barrett, C. R., Pattanaik, P. K., & Salles, M. (1992). Rationality and aggregation of preferences in an ordinally fuzzy framework. Fuzzy Sets and Systems, 49(1), 9-13. doi:10.1016/0165-0114(92)90105-d

Billot, A. (1995). An existence theorem for fuzzy utility functions: A new elementary proof. Fuzzy Sets and Systems, 74(2), 271-276. doi:10.1016/0165-0114(95)00114-z

Richardson, G. (1998). The structure of fuzzy preferences: Social choice implications. Social Choice and Welfare, 15(3), 359-369. doi:10.1007/s003550050111

García-Lapresta, J. L., & Llamazares, B. (2000). Aggregation of fuzzy preferences: Some rules of the mean. Social Choice and Welfare, 17(4), 673-690. doi:10.1007/s003550000048

Ovchinnikov, S. (2002). Numerical representation of transitive fuzzy relations. Fuzzy Sets and Systems, 126(2), 225-232. doi:10.1016/s0165-0114(01)00027-6

Bodenhofer, U., De Baets, B., & Fodor, J. (2007). A compendium of fuzzy weak orders: Representations and constructions. Fuzzy Sets and Systems, 158(8), 811-829. doi:10.1016/j.fss.2006.10.005

Fono, L. A., & Andjiga, N. G. (2006). Utility function of fuzzy preferences on a countable set under max-*-transitivity. Social Choice and Welfare, 28(4), 667-683. doi:10.1007/s00355-006-0190-3

Fono, L. A., & Salles, M. (2011). Continuity of utility functions representing fuzzy preferences. Social Choice and Welfare, 37(4), 669-682. doi:10.1007/s00355-011-0571-0

CAMPIÓN, M. J., CANDEAL, J. C., CATALÁN, R. G., DE MIGUEL, J. R., INDURÁIN, E., & MOLINA, J. A. (2011). AGGREGATION OF PREFERENCES IN CRISP AND FUZZY SETTINGS: FUNCTIONAL EQUATIONS LEADING TO POSSIBILITY RESULTS. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 19(01), 89-114. doi:10.1142/s0218488511006903

Bosi, G., Candeal, J. C., Induráin, E., Oloriz, E., & Zudaire, M. (2001). Order, 18(2), 171-190. doi:10.1023/a:1011974420295

Campión, M. J., Candeal, J. C., & Induráin, E. (2006). Representability of binary relations through fuzzy numbers. Fuzzy Sets and Systems, 157(1), 1-19. doi:10.1016/j.fss.2005.06.018

Scott, D., & Suppes, P. (1958). Foundational aspects of theories of measurement. Journal of Symbolic Logic, 23(2), 113-128. doi:10.2307/2964389

Bridges, D. S., & Mehta, G. B. (1995). Representations of Preferences Orderings. Lecture Notes in Economics and Mathematical Systems. doi:10.1007/978-3-642-51495-1

Candeal, J. C., & Indur�in, E. (1999). Lexicographic behaviour of chains. Archiv der Mathematik, 72(2), 145-152. doi:10.1007/s000130050315

Candeal, J. C., De Miguel, J. R., Induráin, E., & Mehta, G. B. (2001). Utility and entropy. Economic Theory, 17(1), 233-238. doi:10.1007/pl00004100

Cantor, G. (1895). Beiträge zur Begründung der transfiniten Mengenlehre. Mathematische Annalen, 46(4), 481-512. doi:10.1007/bf02124929

Cantor, G. (1897). Beitr�ge zur Begr�ndung der transfiniten Mengenlehre. Mathematische Annalen, 49(2), 207-246. doi:10.1007/bf01444205

Debreu, G. (1964). Continuity Properties of Paretian Utility. International Economic Review, 5(3), 285. doi:10.2307/2525513

Candeal-Haro, J. C., & Indur{áin Eraso, E. (1992). Utility functions on partially ordered topological groups. Proceedings of the American Mathematical Society, 115(3), 765-765. doi:10.1090/s0002-9939-1992-1116255-x

Candeal-Haro, J. C., & Induráin-Eraso, E. (1993). Utility representations from the concept of measure. Mathematical Social Sciences, 26(1), 51-62. doi:10.1016/0165-4896(93)90011-7

Candeal-Haro, J. C., & Induráin-Eraso, E. (1994). Utility representations from the concept of measure: A corrigendum. Mathematical Social Sciences, 28(1), 67-69. doi:10.1016/0165-4896(93)00747-i

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem