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New classes of the moderate deviation functions
(Springer Nature, 2021)
Contribución a congreso / Biltzarrerako ekarpena,
At present, in the field of aggregation of various input values, attention is focused on the construction of aggregation functions using other functions that can affect the resulting aggregated value. This resulting value ...
Linking mathematical morphology and L-fuzzy concepts
(World Scientific, 2017)
Artículo / Artikulua,
In this paper we study the relation between L-fuzzy morphology and L-fuzzy concepts
over complete lattices. In particular, we show how the erosion and dilation operators of
the former can be understood in terms of the ...
A framework for generalized monotonicity of fusion functions
(Elsevier, 2023)
Artículo / Artikulua,
The relaxation of the property of monotonicity is a trend in the theory of aggregation and fusion functions and several generalized forms of monotonicity have been introduced, most of which are based on the notion of ...
New measures for comparing matrices and their application to image processing
(Elsevier, 2018)
Artículo / Artikulua,
In this work we present the class of matrix resemblance functions, i.e., functions that measure
the difference between two matrices. We present two construction methods and study the properties
that matrix resemblance ...
Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators
(IEEE, 2019)
info:eu-repo/semantics/conferenceObject,
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 ...
Operador de comparación de elementos multivaluados basado en funciones de equivalencia restringida
(Universidad de Málaga, 2021)
Contribución a congreso / Biltzarrerako ekarpena,
En este trabajo proponemos un nuevo enfoque del algoritmo de clustering gravitacional basado en lo que Einstein considero su 'mayor error': la constante cosmológica. De manera similar al algoritmo de clustering gravitacional, ...
F-homogeneous functions and a generalization of directional monotonicity
(Wiley, 2022)
Artículo / Artikulua,
A function that takes (Formula presented.) numbers as input and outputs one number is said to be homogeneous whenever the result of multiplying each input by a certain factor (Formula presented.) yields the original output ...
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 ...
Local properties of strengthened ordered directional and other forms of monotonicity
(Springer, 2019)
info:eu-repo/semantics/conferenceObject,
In this study we discuss some of the recent generalized forms of monotonicity, introduced in the attempt of relaxing the monotonicity condition of aggregation
functions. Specifically, we deal with weak, directional, ordered ...
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 ...