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

DOI

10.1080/18756891.2013.859862How to use a DOI?

Keywords

Aggregation operators, stability, missing data, self-identity, fuzzy sets

Abstract

In this work we analyze the key issue of the relationship that should hold between the operators in a family {} of aggregation operators in order to understand they properly define a 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 and strict stability for families of aggregation operators. The notion of strict stability of order 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.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - D. Gómez
AU  - K. Rojas
AU  - J. Montero
AU  - J. T. Rodríguez
AU  - G. Beliakov
PY  - 2014
DA  - 2014/06/01
TI  - Consistency and stability in aggregation operators: An application to missing data problems
JO  - International Journal of Computational Intelligence Systems
SP  - 595
EP  - 604
VL  - 7
IS  - 3
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2013.859862
DO  - 10.1080/18756891.2013.859862
ID  - Gómez2014
ER  -