Publication: Stability in Aggregation Operators
Loading...
Full text at PDC
Publication Date
2012
Advisors (or tutors)
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Citations
Exportar
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
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
UCM subjects
Unesco subjects
Keywords
Citation
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)