RT Book, Section
T1 Construction of Capacities from Overlap Indexes
A1 Sanz, José Antonio
A1 Galar, Mikel
A1 Mesiar, Radko
A1 Bustince, Humberto
A1 Fernandez, Javier
A1 Montero De Juan, Francisco Javier
A2 Torra, Vicenç
A2 Dahlbom, Anders
A2 Narukawa, Yasuo
AB In many problems, it is crucial to find a relation between groups of data. Such relation can be expressed, for instance, in terms of an appropriate fuzzy measure or capacity([10, 21]) which reflects the way the different data are connected to each other [20]. In this chapter, taking into account this fact and following the developments in [8],we introduce a method to build capacities ([20, 21]) directly from the data (inputs) of a given problem. In order to do so, we make use of the notions of overlap function and overlap index ([5, 12, 13, 7, 4, 14, 16]) for constructing capacities which reflect how different data are related to each other.This paper is organized as follows: after providing some preliminaries, we analyse, in Section 3, some properties of overlap functions and indexes. In Sections 4 we discuss a method for constructing capacities from overlap functions and overlap indexes. Finally, we present some conclusions and references.
PB Springer
SN 978-3-319-47556-1
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/19467
UL https://hdl.handle.net/20.500.14352/19467
LA eng
NO Sanz, J.A., Galar, M., Mesiar, R., Kolesárová, A., Bustince, H., Fernandez, J., Montero, J.: Construction of Capacities from Overlap Indexes. En: Torra, V., Dahlbom, A., y Narukawa, Y. (eds.) Fuzzy Sets, Rough Sets, Multisets and Clustering. pp. 323-335. Springer International Publishing, Cham (2017)
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 17 abr 2025