Stability in Aggregation Operators
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2012
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Springer
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Gómez, D., Montero, J., Rodríguez, J.T., Rojas, K.: Stability in Aggregation Operators. En: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., y Yager, R.R. (eds.) Advances in Computational Intelligence. pp. 317-325. Springer Berlin Heidelberg, Berlin, Heidelberg (2012)
Abstract
Aggregation functions have been widely studied in literature. Nevertheless, few efforts have been dedicated to analyze those properties related with the family of operators in a global way. In this work, we analyze the stability in a family of aggregation operators The stability property for a family of aggregation operators tries to force a family to have a stable/continuous definition in the sense that the aggregation of n − 1 items should be similar to the aggregation of n items if the last item is the aggregation of the previous n − 1 items. Following this idea some definitions and results are given
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14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part III