Abstract
Aggregation functions play an essential role in many fields where it is necessary at some point to aggregate several input data into a representative output value. Due to this great number of applications, it is also necessary to investigate this type of functions from a theoretical point of view, with the intention of finding out which different families exist and which properties they satisfy. In this sense, aggregation functions that have simple expressions can be interesting for computational purposes. For this reason, in this work we study rational aggregation functions, that is, those whose expression is given by the quotient of two bivariate polynomial functions. A characterization of the binary rational aggregation functions of degree one (in both numerator and denominator) is presented. Moreover, specific characterizations of those that are symmetric and idempotent are also investigated.
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Acknowledgments
This paper is part of the R&D&I project PID2020-113870GB-I00- “Desarrollo de herramientas de Soft Computing para la Ayuda al Diagnóstico Clínico y a la Gestión de Emergencias (HESOCODICE)" funded by MCIN/AEI/10.13039/501100011033/.
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Aguiló, I., Massanet, S., Riera, J.V. (2022). On Rational Bivariate Aggregation Funcions. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1601. Springer, Cham. https://doi.org/10.1007/978-3-031-08971-8_34
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DOI: https://doi.org/10.1007/978-3-031-08971-8_34
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