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Overlap index, overlap functions and migrativity Bustince, Humberto Fernández, Javier Mesiar, Radko Montero De Juan, Francisco Javier Orduna, R Carvalho, Joao Paulo Dubois, Didier Kaymak, Uzay Costa Sousa, Joao Miguel do 510.64 Restricted equivalence functions Di- subsethood measures Aggregation operators Fuzzy-sets Constrution Lógica simbólica y matemática (Matemáticas) 1102.14 Lógica Simbólica Lisbon, Portugal, July 20-24, 2009 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 Depto. de Estadística e Investigación Operativa Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T05:44:25Z 2023-06-20T05:44:25Z 2009-07-20 book part https://hdl.handle.net/20.500.14352/45349 XXXX-XXXX eng Computer Science Bibliographies TIN2007-65981 APVV-0012-07 402/08/0618 open access application/pdf European Society of Fuzzy Logic and Technology