The state-of-art of the generalizations of the Choquet integral: From aggregation and pre-aggregation to ordered directionally monotone functions

GP Dimuro, J Fernández, B Bedregal, R Mesiar… - Information …, 2020 - Elsevier
In 2013, Barrenechea et al. used the Choquet integral as an aggregation function in the
fuzzy reasoning method (FRM) of fuzzy rule-based classification systems. After that, starting …

Preaggregation functions: Construction and an application

G Lucca, JA Sanz, GP Dimuro… - … on Fuzzy Systems, 2015 - ieeexplore.ieee.org
In this paper, we introduce the notion of preaggregation function. Such a function satisfies
the same boundary conditions as an aggregation function, but, instead of requiring …

CF-integrals: A new family of pre-aggregation functions with application to fuzzy rule-based classification systems

G Lucca, JA Sanz, GP Dimuro, B Bedregal… - Information …, 2018 - Elsevier
This paper introduces the family of C F-integrals, which are pre-aggregations functions that
generalizes the Choquet integral considering a bivariate function F that is left 0-absorbent …

CC-integrals: Choquet-like copula-based aggregation functions and its application in fuzzy rule-based classification systems

G Lucca, JA Sanz, GP Dimuro, B Bedregal… - Knowledge-Based …, 2017 - Elsevier
This paper introduces the concept of Choquet-like Copula-based aggregation function (CC-
integral) and its application in fuzzy rule-based classification systems. The standard …

Improving the Performance of Fuzzy Rule-Based Classification Systems Based on a Nonaveraging Generalization of CC-Integrals Named -Integrals

G Lucca, GP Dimuro, J Fernández… - … on Fuzzy Systems, 2018 - ieeexplore.ieee.org
A key component of fuzzy rule-based classification systems (FRBCS) is the fuzzy reasoning
method (FRM) since it infers the class predicted for new examples. A crucial stage in any …

d-Choquet integrals: Choquet integrals based on dissimilarities

H Bustince, R Mesiar, J Fernández, M Galar… - Fuzzy Sets and …, 2021 - Elsevier
The paper introduces a new class of functions from [0, 1] n to [0, n] called d-Choquet
integrals. These functions are a generalization of the “standard” Choquet integral obtained …

Constructing multi-layer classifier ensembles using the Choquet integral based on overlap and quasi-overlap functions

T Batista, B Bedregal, R Moraes - Neurocomputing, 2022 - Elsevier
Ensembles of classifiers have been receiving much attention lately, they consist of a
collection of classifiers that process the same information and their output is combined in …

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 …

[HTML][HTML] Neuro-inspired edge feature fusion using Choquet integrals

C Marco-Detchart, G Lucca, C Lopez-Molina… - Information …, 2021 - Elsevier
It is known that the human visual system performs a hierarchical information process in
which early vision cues (or primitives) are fused in the visual cortex to compose complex …

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 …