Abstract
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.
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Acknowledgments
The authors have written this contribution in tribute to Prof. Enric Trillas in recognition of his important and extensive research in the field of fuzzy logic. This paper has been partially supported by the Spanish Grant TIN2013-42795-P and TIN2012-32482.
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Calvo, T., Mayor, G., Suñer, J. (2015). Globally Monotone Extended Aggregation Functions. In: Magdalena, L., Verdegay, J., Esteva, F. (eds) Enric Trillas: A Passion for Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 322. Springer, Cham. https://doi.org/10.1007/978-3-319-16235-5_5
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DOI: https://doi.org/10.1007/978-3-319-16235-5_5
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