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Bustince, Humberto Fernández, Javier Mesiar, Radko Montero De Juan, Francisco Javier Orduna, R 2023-06-20T05:44:25Z 2023-06-20T05:44:25Z 2009-07-20 978-989-95079-6-8 https://hdl.handle.net/20.500.14352/45349 http://library.utia.cas.cz/separaty/2009/E/mesiar-overlap%20index,%20overlap%20functions%20and%20migrativity.pdf In this work we study overlap degrees expressed in terms of overlap functions. We present the basic properties that from our point of view must satisfy these overlap functions. We study a construction method, we analyze which t-norms are also overlap functions and we prove that if we apply particular aggregations to such functions we recover the overlap index between fuzzy sets as defined by Dubois, and the consistency index of Zadeh. We also consider some properties that can be required to overlap functions, as k-Lipschitzianity or migrativity eng open access Overlap index, overlap functions and migrativity book part