Špirková, JanaBustince Sola, HumbertoFernández Fernández, Francisco JavierSesma Sara, Mikel2022-09-152022-09-152021Spirkova, J.; Bustince, H.; Fernandez, J.; Sesma-Sara, M.. (2021). New classes of the moderate deviation functions. 1 Atlantis Press; (p. 661-666).978-94-6239-423-010.2991/asum.k.210827.089https://academica-e.unavarra.es/handle/2454/44018At present, in the field of aggregation of various input values, attention is focused on the construction of aggregation functions using other functions that can affect the resulting aggregated value. This resulting value should characterize the properties of the individual input values as accurately as possible. Attention is also paid to aggregation using the so-called moderate deviation function. Using this function in aggregation ensures that all properties of aggregation functions are preserved. This work offers constructions of the moderate deviation functions using negations and automorphisms on the symmetric interval [−1, 1] and a general closed interval [a, b] ⊂ [−∞, ∞].application/pdfeng© 2021 The Authors. This is an open access article distributed under the CC BY-NC 4.0 licenseModerate deviation functionAutomorphismNegationAggregation functionTransformationinfo:eu-repo/semantics/conferenceObject2022-09-15info:eu-repo/semantics/openAccess