RT Journal Article
T1 Strictly stable families of aggregation operators
A1 Rojas Patuelli, Karina
A1 Gómez González, Daniel
A1 Montero De Juan, Francisco Javier
A1 Rodríguez González, Juan Tinguaro
AB In this paper we analyze the notion of family of aggregation operators (FAO), also refereed to as extended aggregation functions (EAF), i.e., a set of aggregation operators defined in the unit interval which aggregate several input values into a single output value. In particular, we address the key issue of the relationship that should hold between the operators in a family in order to understand that they properly define a consistent FAO. We focus on the idea of strict stability of a family of aggregation operators in order to propose an operative notion of consistency between operators of such a family. In this way, robustness of the aggregation process can be guaranteed. Some strict stability definitions for FAOs are proposed, leading to a classification of the main aggregation operators in terms of the properties they satisfy. Furthermore, we apply this approach to analyze the stability of some families of aggregation operators based on weights.
PB Elsevier Science Bv
SN 0165-0114
YR 2013
FD 2013-10-01
LK https://hdl.handle.net/20.500.14352/33356
UL https://hdl.handle.net/20.500.14352/33356
LA eng
NO Rojas, K., Gómez, D., Montero, J., Tinguaro Rodríguez, J.: Strictly stable families of aggregation operators. Fuzzy Sets and Systems. 228, 44-63 (2013). https://doi.org/10.1016/j.fss.2012.12.010
DS Docta Complutense
RD 14 jun 2026