Abstract
In this paper smooth aggregation functions on a finite scale are studied and characterized as solutions of a functional equation analogous to the Frank functional equation. The particular cases of quasi-copulas and copulas are also characterized through a similar functional equation. Previous characterizations of these kind of operations through special matrices are used jointly with the new ones to derive some invariant properties on quasi-copulas and copulas on finite scales.
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Mas, M., Monserrat, M., Torrens, J. (2010). Smooth Aggregation Functions on Finite Scales. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Computational Intelligence for Knowledge-Based Systems Design. IPMU 2010. Lecture Notes in Computer Science(), vol 6178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14049-5_41
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DOI: https://doi.org/10.1007/978-3-642-14049-5_41
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