New results on overlap and grouping functions

B Bedregal, GP Dimuro, H Bustince, E Barrenechea - Information Sciences, 2013 - Elsevier
Overlap functions and grouping functions are special kinds of aggregation operators that
have been recently proposed for applications in classification problems, like, eg, imaging …

On (G, N)-implications derived from grouping functions

GP Dimuro, B Bedregal, RHN Santiago - Information Sciences, 2014 - Elsevier
Overlap and grouping functions are special kinds of non-necessarily associative
aggregation operators recently proposed for applications in classification problems involving …

Archimedean overlap functions: The ordinal sum and the cancellation, idempotency and limiting properties

GP Dimuro, B Bedregal - Fuzzy Sets and Systems, 2014 - Elsevier
Overlap functions are a particular type of aggregation functions, given by increasing
continuous commutative bivariate functions defined over the unit square, satisfying …

On generalized migrativity property for overlap functions

J Qiao, BQ Hu - Fuzzy Sets and Systems, 2019 - Elsevier
Overlap functions, as a new special class of binary aggregation functions, have been
investigated in many recent works for applications in image processing, classification …

Pseudo overlap functions, fuzzy implications and pseudo grouping functions with applications

X Zhang, R Liang, H Bustince, B Bedregal… - Axioms, 2022 - mdpi.com
Overlap and grouping functions are important aggregation operators, especially in
information fusion, classification and decision-making problems. However, when we do …

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 the distributive laws of fuzzy implication functions over additively generated overlap and grouping functions

J Qiao, BQ Hu - IEEE Transactions on Fuzzy Systems, 2017 - ieeexplore.ieee.org
Overlap and grouping functions have been proposed by Bustince et al. for applications in
image processing, classification problems, and decision making based on fuzzy preference …

[HTML][HTML] On distributive laws between 2-uninorms and overlap (grouping) functions

T Zhang, F Qin - International Journal of Approximate Reasoning, 2020 - Elsevier
Since Aczél studied the distributive law between two operations, the distributive laws among
different binary aggregation functions become an interesting and vast research field. This …

The distributive laws of fuzzy implications over overlap and grouping functions

J Qiao, BQ Hu - Information Sciences, 2018 - Elsevier
Overlap and grouping functions, as two kinds of special binary aggregation functions, have
been investigated for applications in image processing, classification problems and decision …

On residual implications derived from overlap functions

GP Dimuro, B Bedregal - Information Sciences, 2015 - Elsevier
Overlap functions are aggregation operators specially introduced to be used in applications
involving the overlap problem and/or when the associativity property is not strongly required …