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 …

General interval-valued overlap functions and interval-valued overlap indices

T da Cruz Asmus, GP Dimuro, B Bedregal, JA Sanz… - Information …, 2020 - Elsevier
Overlap functions are aggregation functions that express the overlapping degree between
two values. They have been used both as a conjunction in several practical problems (eg …

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 …

Generalized CF1F2-integrals: from Choquet-like aggregation to ordered directionally monotone functions

GP Dimuro, G Lucca, B Bedregal, R Mesiar… - Fuzzy Sets and …, 2020 - Elsevier
This paper introduces the theoretical framework for a generalization of CF 1 F 2-integrals, a
family of Choquet-like integrals used successfully in the aggregation process of the fuzzy …

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 …

[HTML][HTML] A fuzzy association rule-based classifier for imbalanced classification problems

J Sanz, M Sesma-Sara, H Bustince - Information Sciences, 2021 - Elsevier
Imbalanced classification problems are attracting the attention of the research community
because they are prevalent in real-world problems and they impose extra difficulties for …

N-Dimensional Admissibly Ordered Interval-Valued Overlap Functions and Its Influence in Interval-Valued Fuzzy-Rule-Based Classification Systems

T da Cruz Asmus, JA Sanz, GP Dimuro… - … on Fuzzy Systems, 2021 - ieeexplore.ieee.org
Overlap functions are a type of aggregation functions that are not required to be associative,
generally used to indicate the overlapping degree between two values. They have been …

[HTML][HTML] A wrapper methodology to learn interval-valued fuzzy rule-based classification systems

JA Sanz, H Bustince - Applied Soft Computing, 2021 - Elsevier
Learning an interval-valued fuzzy rule-based classification system is a challenge as its
success directly depends on the interval-valued fuzzy partition used. In fact, the learning of …

On (IO, O)-fuzzy rough sets based on overlap functions

J Qiao - International Journal of Approximate Reasoning, 2021 - Elsevier
In the last past years, as a class of continuous binary aggregation functions, there are many
scholars keeping a watchful focus on overlap functions for their widely applicability in …

On the extended Choquet-Sugeno-like operator

M Boczek, M Kaluszka - International Journal of Approximate Reasoning, 2023 - Elsevier
In this short paper, we introduce and discuss the extended Choquet-Sugeno-like operator. It
generalizes most of modifications of the Choquet integral on a finite set known in the …