Wieczynski, JonataFumanal Idocin, JavierLucca, GiancarloBorges, Eduardo N.Da Cruz Asmus, TiagoEmmendorfer, Leonardo R.Bustince Sola, HumbertoPereira Dimuro, Graçaliz2022-09-132023-05-222022Wieczynski, J. C.; Fumanal-Idocín, J.; Lucca, G.; Borges, E. N.; Asmus, T.C.; Emmendorfer, L. R.; Bustince, H.; Dimuro, G.P.. (2022). d-XC integrals: on the generalization of the expanded form of the Choquet integral by restricted dissimilarity functions and their applications. IEEE Transactions on Fuzzy Systems.1063-670610.1109/TFUZZ.2022.3176916https://academica-e.unavarra.es/handle/2454/43987Restricted dissimilarity functions (RDFs) were introduced to overcome problems resulting from the adoption of the standard difference. Based on those RDFs, Bustince et al. introduced a generalization of the Choquet integral (CI), called d-Choquet integral, where the authors replaced standard differences with RDFs, providing interesting theoretical results. Motivated by such worthy properties, joint with the excellent performance in applications of other generalizations of the CI (using its expanded form, mainly), this paper introduces a generalization of the expanded form of the standard Choquet integral (X-CI) based on RDFs, which we named d-XC integrals. We present not only relevant theoretical results but also two examples of applications. We apply d-XC integrals in two problems in decision making, namely a supplier selection problem (which is a multi-criteria decision making problem) and a classification problem in signal processing, based on motor-imagery brain-computer interface (MI-BCI). We found that two d-XC integrals provided better results when compared to the original CI in the supplier selection problem. Besides that, one of the d-XC integrals performed better than any previous MI-BCI results obtained with this framework in the considered signal processing problem.application/pdfeng© 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, 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 component of this work in other workChoquet integralRestricted dissimilarity functionsD-Choquet integralD-XC integralMulti-criteria decision makingMotor-imagery brain-computer interfaceinfo:eu-repo/semantics/article2022-09-13info:eu-repo/semantics/openAccess