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Pre-aggregation functions: construction and an application
(IEEE, 2015)
Artículo / Artikulua,
In this work we introduce the notion of preaggregation
function. Such a function satisfies the same boundary
conditions as an aggregation function, but, instead of requiring
monotonicity, only monotonicity along some ...
Ordered directional monotonicity in the construction of edge detectors
(Elsevier, 2021)
info:eu-repo/semantics/article,
In this paper we provide a specific construction method of ordered directionally monotone functions. We show that the functions obtained with this construction method can be used to build edge detectors for grayscale images. ...
Dissimilarity based choquet integrals
(Springer, 2020)
info:eu-repo/semantics/conferenceObject,
In this paper, in order to generalize the Choquet integral, we replace the difference between inputs in its definition by a restricted dissimilarity function and refer to the obtained function as d-Choquet integral. For ...
Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
(Elsevier, 2019)
info:eu-repo/semantics/article,
In this work, we propose a new notion of monotonicity: strengthened ordered directional monotonicity. This generalization of monotonicity is based on directional monotonicity and ordered directional monotonicity, two recent ...
Strengthened ordered directional and other generalizations of monotonicity for aggregation functions
(Springer, 2018)
info:eu-repo/semantics/conferenceObject,
A tendency in the theory of aggregation functions is the generalization of the monotonicity condition. In this work, we examine the latest developments in terms of different generalizations. In particular, we discuss ...
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 ...
Description and properties of curve-based monotone functions
(Springer, 2019)
info:eu-repo/semantics/conferenceObject,
Curve-based monotonicity is one of the lately introduced relaxations of monotonicity. As directional monotonicity regards monotonicity along fixed rays, which are given by real vectors, curve-based monotonicity studies the ...
Curve-based monotonicity: a generalization of directional monotonicity
(Taylor & Francis, 2019)
info:eu-repo/semantics/article,
In this work we propose a generalization of the notion of directional monotonicity. Instead of considering increasingness or decreasingness along rays, we allow more general paths defined by curves in the n-dimensional ...
Mixture functions and their monotonicity
(Elsevier, 2019)
info:eu-repo/semantics/article,
We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need ...