Stability in Aggregation Operators
| dc.book.title | Advances in Computational Intelligence | |
| dc.contributor.author | Gómez González, Daniel | |
| dc.contributor.author | Montero De Juan, Francisco Javier | |
| dc.contributor.author | Rodríguez González, Juan Tinguaro | |
| dc.contributor.author | Rojas Patuelli, Karina | |
| dc.contributor.editor | Greco, Salvatore | |
| dc.contributor.editor | Bouchon-Meunier, Bernadette | |
| dc.contributor.editor | Fedrizzi, Mario | |
| dc.contributor.editor | Matarazzo, Benedetto | |
| dc.contributor.editor | Yager, Ronald R. | |
| dc.date.accessioned | 2023-06-20T05:46:28Z | |
| dc.date.available | 2023-06-20T05:46:28Z | |
| dc.date.issued | 2012 | |
| dc.description | 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part III | |
| dc.description.abstract | Aggregation functions have been widely studied in literature. Nevertheless, few efforts have been dedicated to analyze those properties related with the family of operators in a global way. In this work, we analyze the stability in a family of aggregation operators The stability property for a family of aggregation operators tries to force a family to have a stable/continuous definition in the sense that the aggregation of n − 1 items should be similar to the aggregation of n items if the last item is the aggregation of the previous n − 1 items. Following this idea some definitions and results are given | 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/28628 | |
| dc.identifier.citation | Gómez, D., Montero, J., Rodríguez, J.T., Rojas, K.: Stability in Aggregation Operators. En: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., y Yager, R.R. (eds.) Advances in Computational Intelligence. pp. 317-325. Springer Berlin Heidelberg, Berlin, Heidelberg (2012) | |
| dc.identifier.doi | 10.1007/978-3-642-31718-7_33 | |
| dc.identifier.isbn | 978-3-642-31717-0 | |
| dc.identifier.officialurl | https//doi.org/10.1007/978-3-642-31718-7_33 | |
| dc.identifier.relatedurl | http://link.springer.com/chapter/10.1007%2F978-3-642-31718-7_33 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/45538 | |
| dc.issue.number | 299 | |
| dc.language.iso | eng | |
| dc.page.final | 325 | |
| dc.page.initial | 317 | |
| dc.page.total | 626 | |
| dc.publication.place | Berlin | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Communications in Computer and Information Science | |
| dc.relation.projectID | TIN2009-07901 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.22 | |
| dc.subject.ucm | Estadística matemática (Matemáticas) | |
| dc.subject.unesco | 1209 Estadística | |
| dc.title | Stability in Aggregation Operators | en |
| dc.type | book part | |
| dc.volume.number | III | |
| dcterms.references | 1. Amo, A., Montero, J., Molina, E.: Representation of consistent recursive rules. European Journal of Operational Research 130, 29–53 (2001) 2. Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions, a Guide to Practitioners. Springer, Berlin (2007) 3. Calvo, T., Kolesarova, A., Komornikova, M., Mesiar, R.: Aggregation operators, properties, classes and construction methods. In: Calvo, T., et al. (eds.) Aggregation Operators New trends ans Aplications, pp. 3–104. Physica-Verlag,Heidelberg (2002) 4. Calvo, T., Mayor, G., Torrens, J., Suer, J., Mas, M., Carbonell, M.: Generation of weighting triangles associated with aggregation fuctions. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 8(4),417–451 (2000) 5. Cutello, V., Montero, J.: Hierarchical aggregation of OWA operators: basic measures and related computational problems. Uncertainty, Fuzzinesss and Knowledge-Based Systems 3, 17–26 (1995) 6. Cutello, V., Montero, J.: Recursive families of OWA operators. In: Proceedings FUZZ-IEEE Conference, pp. 1137–1141. IEEE Press, Piscataway (1994) 7. Cutello, V., Montero, J.: Recursive connective rules. International Journal of Intelligent Systems 14, 3–20 (1999) 8. Gomez, D., Montero, J.: A discussion of aggregation functions. Kybernetika 40, 107–120 (2004) 9. Gomez, D., Montero, J., Yañez, J., Poidomani, C.: A graph coloring algorithm approach for image segmentation. Omega 35, 173–183 (2007) 10. Gomez, D., Montero, J., Yañez, J.: A coloring algorithm for image classification. Information Sciences 176, 3645–3657 (2006) 11. Grabisch, M., Marichal, J., Mesiar, R., Pap, E.: Aggregation Functions. Encyclopedia of Mathematics and its Applications (2009) 12. Koles´arov´a, A.: Sequential aggregation. In: Gonz´alez, M., et al. (eds.) Proceedings of the Fifth International Summer School on Aggregation Operators, AGOP,pp. 183–187. Universitat de les Illes Balears, Palma de Mallorca (2009) 13. Montero, J., Gomez, D., Bustince, H.: On the relevance of some families of fuzzy sets. Fuzzy Sets and Systems 158, 2429–2442 (2007) 14. Montero, J., Lopez, V., Gomez, D.: The Role of Fuzziness in Decision Making. STUDFUZZ, vol. 215, pp. 337–349. Springer, Heidelberg (2007) 15. Rojas, K., Gomez, D., Rodrıguez, J.T., Montero, J.: Some Properties of Consistency in the Families of Aggregation Operators. In: Melo-Pinto, P., Couto, P., Serodio, C., Fodor, J., De Baets, B. (eds.) Eurofuse 2011. AISC, vol. 107, pp. 169–176. Springer, Heidelberg (2011) 16. Yager, R.R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems, Man and Cybernetics 18, 183–190 (1988) 17. Yager, R.R., Rybalov, A.: Nonconmutative self-identity aggregation. Fuzzy Sets and Systems 85, 73–82 (1997) | |
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