Browsing by Subject "Directional monotonicity"
Now showing items 1-12 of 12
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Curve-based monotonicity: a generalization of directional monotonicity
Roldán López de Hierro, Antonio Francisco; Sesma Sara, Mikel
; Špirková, Jana; Lafuente López, Julio ; Pradera, Ana; Mesiar, Radko; Bustince Sola, Humberto (Taylor & Francis, 2019)
Artículo / Artikulua 
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 ... -
d-Choquet integrals: Choquet integrals based on dissimilarities
Bustince Sola, Humberto ; Mesiar, Radko; Fernández Fernández, Francisco Javier ; Galar Idoate, Mikel ; Paternain Dallo, Daniel ; Altalhi, A. H.; Pereira Dimuro, Graçaliz ; Bedregal, Benjamin ; Takáč, Zdenko (Elsevier, 2020)
Artículo / Artikulua
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
Sesma Sara, Mikel ; Miguel Turullols, Laura de ; Roldán López de Hierro, Antonio Francisco; Špirková, Jana; Mesiar, Radko; Bustince Sola, Humberto (Springer, 2019)
Contribución a congreso / Biltzarrerako ekarpena
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 ... -
Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators
Sesma Sara, Mikel ; Marco Detchart, Cedric ; Lafuente López, Julio ; Roldán López de Hierro, Antonio Francisco; Mesiar, Radko; Bustince Sola, Humberto (IEEE, 2019)
Contribución a congreso / Biltzarrerako ekarpena
In this work we discuss the forms of monotonicity that have been recently introduced to relax the monotonicity condition in the definition of aggregation functions. We focus on directional, ordered directional and strengthened ... -
Dissimilarity based choquet integrals
Bustince Sola, Humberto ; Mesiar, Radko; Fernández Fernández, Francisco Javier ; Galar Idoate, Mikel ; Paternain Dallo, Daniel (Springer, 2020)
Contribución a congreso / Biltzarrerako ekarpena
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 ... -
Mixture functions and their monotonicity
Špirková, Jana; Beliakov, Gleb; Bustince Sola, Humberto ; Fernández Fernández, Francisco Javier (Elsevier, 2019)
Artículo / Artikulua
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 ... -
On some classes of directionally monotone functions
Bustince Sola, Humberto ; Mesiar, Radko; Kolesárová, Anna; Pereira Dimuro, Graçaliz ; Fernández Fernández, Francisco Javier ; Díaz, Irene; Montes Rodríguez, Susana (Elsevier, 2020)
Artículo / Artikulua
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 ... -
Ordered directional monotonicity in the construction of edge detectors
Marco Detchart, Cedric ; Bustince Sola, Humberto ; Fernández Fernández, Francisco Javier ; Mesiar, Radko; Lafuente López, Julio ; Barrenechea Tartas, Edurne ; Pintor Borobia, Jesús María (Elsevier, 2021)
Artículo / Artikulua
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. ... -
Pre-aggregation functions: construction and an application
Lucca, Giancarlo; Sanz Delgado, José Antonio ; Pereira Dimuro, Graçaliz ; Bedregal, Benjamin ; Mesiar, Radko; Kolesárová, Anna; Bustince Sola, Humberto (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 ... -
Strengthened ordered directional and other generalizations of monotonicity for aggregation functions
Sesma Sara, Mikel ; Miguel Turullols, Laura de ; Lafuente López, Julio ; Barrenechea Tartas, Edurne ; Mesiar, Radko; Bustince Sola, Humberto (Springer, 2018)
Contribución a congreso / Biltzarrerako ekarpena
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 ... -
Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
Sesma Sara, Mikel ; Lafuente López, Julio ; Roldán López de Hierro, Antonio Francisco; Mesiar, Radko; Bustince Sola, Humberto (Elsevier, 2019)
Artículo / Artikulua
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 ... -
Weak and directional monotonicity of functions on Riesz spaces to fuse uncertain data
Sesma Sara, Mikel ; Mesiar, Radko; Bustince Sola, Humberto (Elsevier B.V., 2019)
Artículo / Artikulua
In the theory of aggregation, there is a trend towards the relaxation of the axiom of monotonicity and also towards the extension of the definition to other domains besides real numbers. In this work, we join both approaches ...
