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Consistency and stability in aggregation operators: An application to missing data problems

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Gómez, Daniel and Rojas Patuelli, Karina and Montero, Javier and Rodríguez, Juan Tinguaro (2013) Consistency and stability in aggregation operators: An application to missing data problems. In Aggregation Functions in Theory and in Practise. Advances in Intelligent Systems and Computing (228). Springer-Verlag Berlin Heidelberg, Berlin, pp. 507-518. ISBN 978-3-642-39164-4

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Official URL: http://link.springer.com/chapter/10.1007/978-3-642-39165-1_48


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Abstract

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.


Item Type:Book Section
Additional Information:

Proceedings of the 7th International Summer School on Aggregation Operators at the Public University of Navarra, Pamplona, Spain, July 16-20, 2013

Uncontrolled Keywords:Aggregation operators; Stability, missing data; Self-identity; Fuzzy sets
Subjects:Sciences > Mathematics > Logic, Symbolic and mathematical
ID Code:28461
Deposited On:20 Feb 2015 11:35
Last Modified:19 Apr 2016 14:05

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