In this paper a condition of global monotonicity for the class of extended aggregation functions is presented. From the study of some remarkable families of those aggregation functions and of several properties considered in the literature as indicators of consistency, it seems reasonable that the global monotonicity can be taken as a minimum requirement for an extended aggregation function to be considered consistent.
CITATION STYLE
Calvo, T., Mayor, G., & Suñer, J. (2015). Globally monotone extended aggregation functions. Studies in Fuzziness and Soft Computing, 322, 49–66. https://doi.org/10.1007/978-3-319-16235-5_5
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