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Consistency and stability in aggregation operators: An application to missing data problems Gómez González, Daniel Rojas Patuelli, Karina Montero De Juan, Francisco Javier Rodríguez González, Juan Tinguaro 510.64 Aggregation operators Stability Missing data Self-identity Fuzzy sets Lógica simbólica y matemática (Matemáticas) 1102.14 Lógica Simbólica Proceedings of the 7th International Summer School on Aggregation Operators at the Public University of Navarra, Pamplona, Spain, July 16-20, 2013 In this work we analyze the key issue of the relationship that should hold between the operators in a family {An} of aggregation operators in order to understand they properly define a consistent whole. Here we extend some of the ideas about stability of a family of aggregation operators into a more general framework, formally defining the notions of i – L and j – R strict stability for families of aggregation operators. The notion of strict stability of order k is introduced as well. Finally, we also present an application of the strict stability conditions to deal with missing data problems in an information aggregation process. For this analysis, we have focused in the weighted mean family and the quasi-arithmetic weighted means families. Depto. de Estadística e Investigación Operativa Fac. de Ciencias Matemáticas TRUE pub 2023-06-19T15:54:26Z 2023-06-19T15:54:26Z 2013 book part https://hdl.handle.net/20.500.14352/35715 XXXX-XXXX 10.1007/978-3-642-39165-1_48 eng Advances in Intelligent Systems and Computing Gomez, D., Rojas, K., Montero, J., Rodríguez, J.T.: Consistency and Stability in Aggregation Operators: An Application to Missing Data Problems. En: Bustince, H., Fernandez, J., Mesiar, R., y Calvo, T. (eds.) Aggregation Functions in Theory and in Practise. pp. 507-518. Springer Berlin Heidelberg, Berlin, Heidelberg (2013) open access application/pdf Springer-Verlag Berlin Heidelberg