On Stability of Families for Improper Aggregation Operators



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Olaso, Pablo and Rojas, Karina and Gomez, D. and Montero, Javier (2017) On Stability of Families for Improper Aggregation Operators. In Aggregation Functions in Theory and in Practice. Advances in Intelligent Systems and Computing (581). Springer, pp. 172-180. ISBN 9783319593050

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Official URL: https://link.springer.com/chapter/10.1007/978-3-319-59306-7_18


This work extends the notion of consistency in terms of stability for Families of Aggregation Operators (FAO), as defined in previous works. The notion of stability proposed in this work, not only extends the previous one, but it can be applied to a wider set of FAOs, particularly, to those that we name here as Family of Improper Aggregation Operators (FIAO), or improper FAOs. When the aggregated value cannot be considered as a new item from the input, the present definition of onsistency cannot be applied. This is usual in several areas, namely in the development of social, economic and political indexes, as far as the aggregation process typically yield a new and different concept from the input elements.

Item Type:Book Section
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AGOP: International Summer School on Aggregation Operators

Subjects:Sciences > Mathematics > Logic, Symbolic and mathematical
ID Code:44907
Deposited On:04 Oct 2017 15:07
Last Modified:05 Oct 2017 08:12

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