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oai:docta.ucm.es:20.500.14352/453492024-11-26T14:52:30Zcom_20.500.14352_14col_20.500.14352_21

00925njm 22002777a 4500 dc Bustince, Humberto author Fernández, Javier author Mesiar, Radko author Montero De Juan, Francisco Javier author Orduna, R author 2009-07-20 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 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 Overlap index, overlap functions and migrativity