RT Book, Section
T1 Overlap index, overlap functions and migrativity
A1 Bustince, Humberto
A1 Fernández, Javier
A1 Mesiar, Radko
A1 Montero De Juan, Francisco Javier
A1 Orduna, R
A2 Carvalho, Joao Paulo
A2 Dubois, Didier
A2 Kaymak, Uzay
A2 Costa Sousa, Joao Miguel do
AB 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
PB European Society of Fuzzy Logic and Technology
SN 978-989-95079-6-8
YR 2009
FD 2009-07-20
LK https://hdl.handle.net/20.500.14352/45349
UL https://hdl.handle.net/20.500.14352/45349
LA eng
NO Lisbon, Portugal, July 20-24, 2009
DS Docta Complutense
RD 6 abr 2025