Overlap functions

H Bustince, J Fernandez, R Mesiar, J Montero… - … : Theory, Methods & …, 2010 - Elsevier
In this paper we address a key issue in scenario classification, where classifying concepts
show a natural overlap**. In fact, overlap** needs to be evaluated whenever classes …

General overlap functions

L De Miguel, D Gómez, JT Rodríguez, J Montero… - Fuzzy Sets and …, 2019 - Elsevier
As a generalization of bivariate overlap functions, which measure the degree of overlap**
(intersection for non-crisp sets) of n different classes, in this paper we introduce the concept …

[HTML][HTML] A new modularity measure for fuzzy community detection problems based on overlap and grou** functions

D Gomez, JT Rodríguez, J Yanez, J Montero - International Journal of …, 2016 - Elsevier
One of the main challenges of fuzzy community detection problems is to be able to measure
the quality of a fuzzy partition. In this paper, we present an alternative way of measuring the …

Overlap and grou** functions on complete lattices

J Qiao - Information Sciences, 2021 - Elsevier
Recently, Paiva et al. introduced the concepts of lattice-valued overlap and quasi-overlap
functions, and showed the migrativity, homogeneity and other properties of (quasi-) overlap …

n-Dimensional overlap functions

D Gómez, JT Rodriguez, J Montero, H Bustince… - Fuzzy Sets and …, 2016 - Elsevier
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 …

On multiplicative generators of overlap and grou** functions

J Qiao, BQ Hu - Fuzzy Sets and Systems, 2018 - Elsevier
Overlap and grou** functions have been proposed by Bustince et al.. In this paper, we
continue investigating the two functions by their multiplicative generator pairs. At first, we …

On the relevance of some families of fuzzy sets

J Montero, D Gómez, H Bustince - Fuzzy sets and systems, 2007 - Elsevier
In this paper we stress the relevance of a particular family of fuzzy sets, where each element
can be viewed as the result of a classification problem. In particular, we assume that fuzzy …

Overlap index, overlap functions and migrativity

H Bustince, J Fernández, R Mesiar, J Montero… - 2009 - docta.ucm.es
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 …

On the migrativity of uninorms and nullnorms over overlap and grou** functions

J Qiao, BQ Hu - Fuzzy Sets and Systems, 2018 - Elsevier
In this paper, we investigate the migrativity of uninorms and nullnorms over any fixed overlap
function or grou** function. First, we introduce the concept of (α, O)-migrative uninorms …

Migrativity of aggregation functions

H Bustince, J Montero, R Mesiar - Fuzzy Sets and Systems, 2009 - Elsevier
In this paper we introduce a slight modification of the definition of migrativity for aggregation
functions that allows useful characterization of this property. Among other things, in this …