Lucca, GiancarloSanz Delgado, José AntonioPereira Dimuro, GraçalizBedregal, BenjaminMesiar, RadkoKolesárová, AnnaBustince Sola, Humberto2015-07-272015-07-272015G. Lucca et al., "Preaggregation Functions: Construction and an Application," in IEEE Transactions on Fuzzy Systems, vol. 24, no. 2, pp. 260-272, April 2016. doi: 10.1109/TFUZZ.2015.24530201063-670610.1109/TFUZZ.2015.2453020https://academica-e.unavarra.es/handle/2454/17691In this work we introduce the notion of preaggregation function. Such a function satisfies the same boundary conditions as an aggregation function, but, instead of requiring monotonicity, only monotonicity along some fixed direction (directional monotonicity) is required. We present some examples of such functions. We propose three different methods to build pre-aggregation functions. We experimentally show that in fuzzy rule-based classification systems, when we use one of these methods, namely, the one based on the use of the Choquet integral replacing the product by other aggregation functions, if we consider the minimum or the Hamacher product t-norms for such construction, we improve the results obtained when applying the fuzzy reasoning methods obtained using two classical averaging operators like the maximum and the Choquet integral.application/pdfeng© 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.Aggregation functionsDirectional monotonicityFuzzy measuresChoquet integralFuzzy rule-based classification systemsFuzzy reasoning methodinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess