Universidad Complutense de Madrid
E-Prints Complutense

n-Dimensional overlap functions

Impacto

Downloads

Downloads per month over past year

Gómez, Daniel and Rodríguez, Juan Tinguaro and Montero, Javier and Bustince, H. and Barrenechea, E. (2014) n-Dimensional overlap functions. Fuzzy Sets and Systems . ISSN 0165-0114 (In Press)

[img] PDF
Restringido a Repository staff only

788kB

Official URL: http://ac.els-cdn.com/S0165011414005417/1-s2.0-S0165011414005417-main.pdf?_tid=9ea4b8d0-b376-11e4-acf8-00000aacb35e&acdnat=1423828457_df72990dfd6def6ba70feb65f7f14f9e



Abstract

In this paper we introduce the definition of n-dimensional overlap functions and we justify the axiomatization proposed in its definition. Basically, these functions allow to measure the degree of overlapping of several classes in a given classification system and for any given object. We also show a construction method for this class of functions, studying its relationships with the properties of migrativity, homogeneity and Lipschitz continuity. Finally, we propose an example where the use of n-dimensional overlap functions provides better results than those obtained with the commonly used product t-norm.


Item Type:Article
Uncontrolled Keywords:Aggregation operators; Overlap functions; Grouping functions
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:28381
Deposited On:16 Feb 2015 10:16
Last Modified:22 Apr 2016 14:27

Origin of downloads

Repository Staff Only: item control page