New results on overlap and grou** functions

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

On additive generators of overlap functions

GP Dimuro, B Bedregal, H Bustince, MJ Asiáin… - Fuzzy Sets and …, 2016 - Elsevier
In this paper we introduce the notion of additive generator pair for overlap functions. We also
study how some of the properties that can be demanded to an overlap function can be …

Lattice-valued overlap and quasi-overlap functions

R Paiva, R Santiago, B Bedregal, E Palmeira - Information Sciences, 2021 - Elsevier
As an important class of aggregation operators, the notion of overlap functions was first
presented in 2009 in order to be considered for applications in image processing context …

Migrativity properties of overlap functions over uninorms

H Zhou, X Yan - Fuzzy Sets and Systems, 2021 - Elsevier
The migrativity of aggregation functions is an interesting property from both theoretic and
applied points of view in fuzzy set theory, and many profound results on the migrative …

[HTML][HTML] On distributive laws between 2-uninorms and overlap (grou**) 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 …

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 …

A constructive framework to define fusion functions with floating domains in arbitrary closed real intervals

T da Cruz Asmus, GP Dimuro, B Bedregal, JA Sanz… - Information …, 2022 - Elsevier
Fusion functions and their most important subclass, aggregation functions, have been
successfully applied in fuzzy modeling. However, there are practical problems, such as …

Migrative uninorms and nullnorms over t-norms and t-conorms

M Mas, M Monserrat, D Ruiz-Aguilera, J Torrens - Fuzzy Sets and Systems, 2015 - Elsevier
In this paper the notions of α-migrative uninorms and nullnorms over a fixed t-norm T and
over a fixed t-conorm S are introduced and studied. All cases when the uninorm U lies in any …

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 …

The modularity condition for overlap and grou** functions

YM Wang, HW Liu - Fuzzy Sets and Systems, 2019 - Elsevier
This paper is mainly devoted to investigating the modularity condition for overlap and
grou** functions, which may have neither neutral elements nor associativity. At present …