Zapata, HugoPereira Dimuro, GraçalizFernández Fernández, Francisco JavierBustince Sola, Humberto2020-04-142020-04-142018Zapata H., Dimuro G.P., Fernández J., Bustince H. (2018) T-Overlap Functions: A Generalization of Bivariate Overlap Functions by t-Norms. In: Medina J. et al. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science, vol 853. Springer, Cham978-3-319-91472-51865-092910.1007/978-3-319-91473-2_41https://academica-e.unavarra.es/handle/2454/36717Trabajo presentado a la 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2018. Cádiz, 11-15 junio 2018This paper introduces a generalization of overlap functions by extending one of the boundary conditions of its definition. More specifically, instead of requiring that 'the considered function is equal to zero if and only if some of the inputs is equal to zero' , we allow the range in which some t-norm is zero. We call such generalization by a t-overlap function with respect to such t-norm. Then we analyze the main properties of t-overlap function and introduce some construction methods.10 p.application/pdfeng© Springer International Publishing AG, part of Springer Nature 2018Aggregation functionOverlap functionT-normT-overlap functions: a generalization of bivariate overlap functions by t-normsinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccess