Consistency and stability in aggregation operators: An application to missing data problems
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 fram...
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Online Access: | https://www.atlantis-press.com/article/25868489.pdf |
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doaj-08efbbcf06c842cc82bf836475f2aae32020-11-25T01:49:25ZengAtlantis PressInternational Journal of Computational Intelligence Systems 1875-68832014-06-017310.1080/18756891.2013.859862Consistency and stability in aggregation operators: An application to missing data problemsD. GómezK. RojasJ. MonteroJ. T. RodríguezG. BeliakovIn 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.https://www.atlantis-press.com/article/25868489.pdfAggregation operatorsstabilitymissing dataself-identityfuzzy sets |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
D. Gómez K. Rojas J. Montero J. T. Rodríguez G. Beliakov |
spellingShingle |
D. Gómez K. Rojas J. Montero J. T. Rodríguez G. Beliakov Consistency and stability in aggregation operators: An application to missing data problems International Journal of Computational Intelligence Systems Aggregation operators stability missing data self-identity fuzzy sets |
author_facet |
D. Gómez K. Rojas J. Montero J. T. Rodríguez G. Beliakov |
author_sort |
D. Gómez |
title |
Consistency and stability in aggregation operators: An application to missing data problems |
title_short |
Consistency and stability in aggregation operators: An application to missing data problems |
title_full |
Consistency and stability in aggregation operators: An application to missing data problems |
title_fullStr |
Consistency and stability in aggregation operators: An application to missing data problems |
title_full_unstemmed |
Consistency and stability in aggregation operators: An application to missing data problems |
title_sort |
consistency and stability in aggregation operators: an application to missing data problems |
publisher |
Atlantis Press |
series |
International Journal of Computational Intelligence Systems |
issn |
1875-6883 |
publishDate |
2014-06-01 |
description |
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. |
topic |
Aggregation operators stability missing data self-identity fuzzy sets |
url |
https://www.atlantis-press.com/article/25868489.pdf |
work_keys_str_mv |
AT dgomez consistencyandstabilityinaggregationoperatorsanapplicationtomissingdataproblems AT krojas consistencyandstabilityinaggregationoperatorsanapplicationtomissingdataproblems AT jmontero consistencyandstabilityinaggregationoperatorsanapplicationtomissingdataproblems AT jtrodriguez consistencyandstabilityinaggregationoperatorsanapplicationtomissingdataproblems AT gbeliakov consistencyandstabilityinaggregationoperatorsanapplicationtomissingdataproblems |
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1725006593998716928 |