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On construction methods of (interval-valued) general grouping functions
(Springer, 2022)
Contribución a congreso / Biltzarrerako ekarpena,
Recently, several theoretical and applied studies on grouping functions and overlap functions appeared in the literature, mainly because of their flexibility when comparing them with the popular aggregation operators ...
dCF-integrals: generalizing CF-integrals by means of restricted dissimilarity functions
(IEEE, 2022)
Artículo / Artikulua,
The Choquet integral (CI) is an averaging aggregation function that has been used, e.g., in the fuzzy reasoning method (FRM) of fuzzy rule-based classification systems (FRBCSs) and in multicriteria decision making in order ...
The evolution of the notion of overlap functions
(Springer, 2021)
info:eu-repo/semantics/bookPart,
In this chapter we make a review of the notion of overlap function. Although originally developed in order to determine up to what extent a given element belongs to two sets, overlap functions have widely developed in the ...
T-overlap t-migrative functions: a generalization of migrativity in t-overlap functions
(Universidad Distrital Francisco José de Caldas (Colombia), 2020)
info:eu-repo/semantics/article,
Este artículo introduce una generalización de funciones migrativas por extensión de la condición de la operación producto aplicada en las variables. Más específicamente, en lugar de exigir multiplicar la variable x por un ...
T-overlap functions: a generalization of bivariate overlap functions by t-norms
(Springer, 2018)
info:eu-repo/semantics/conferenceObject,
This paper introduces a generalization of overlap functions by extending one of the boundary conditions of its definition. More specifically, instead of requiring that 'the considered function is equal to zero if and only ...
Replacing pooling functions in convolutional neural networks by linear combinations of increasing functions
(Elsevier, 2022)
Artículo / Artikulua,
Traditionally, Convolutional Neural Networks make use of the maximum or arithmetic mean in order to reduce the features extracted by convolutional layers in a downsampling process known as pooling. However, there is no ...
On some classes of directionally monotone functions
(Elsevier, 2020)
info:eu-repo/semantics/article,
In this work we consider some classes of functions with relaxed monotonicity conditions generalizing some other given classes of fusion functions. In particular, directionally increasing aggregation functions (called also ...
d-Choquet integrals: Choquet integrals based on dissimilarities
(Elsevier, 2020)
info:eu-repo/semantics/article,
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 by replacing the difference in the definition ...
Towards interval uncertainty propagation control in bivariate aggregation processes and the introduction of width-limited interval-valued overlap functions
(Elsevier, 2021)
info:eu-repo/semantics/article,
Overlap functions are a class of aggregation functions that measure the overlapping degree between two values. They have been successfully applied as a fuzzy conjunction operation in several problems in which associativity ...
The law of O-conditionality for fuzzy implications constructed from overlap and grouping functions
(Elsevier, 2019)
info:eu-repo/semantics/article,
Overlap and grouping functions are special kinds of non necessarily associative aggregation operators proposed for many applications, mainly when the associativity property is not strongly required. The classes of overlap ...