Bustince, HumbertoFernández, JavierMesiar, RadkoMontero De Juan, Francisco JavierOrduna, RCarvalho, Joao PauloDubois, DidierKaymak, UzayCosta Sousa, Joao Miguel do2023-06-202023-06-202009-07-20978-989-95079-6-8https://hdl.handle.net/20.500.14352/45349Lisbon, Portugal, July 20-24, 2009In 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 migrativityengbook parthttp://library.utia.cas.cz/separaty/2009/E/mesiar-overlap%20index,%20overlap%20functions%20and%20migrativity.pdfopen access510.64Restricted equivalence functionsDi- subsethood measuresAggregation operatorsFuzzy-setsConstrutionLógica simbólica y matemática (Matemáticas)1102.14 Lógica Simbólica