Listar Artículos de revista - Aldizkari artikuluak por autor "Mesiar, Radko"
Mostrando ítems 1-20 de 23
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Comprehensive rules-based and preferences induced weights allocation in group decision-making with BUI
Li, GePeng; Yager, Ronald R.; Zhang, XinXing; Mesiar, Radko; Jin, LeSheng; Bustince Sola, Humberto (Springer, 2022) Artículo / ArtikuluaDecision-makers' subjective preferences can be well modeled using preference aggregation operators and related induced weights allocation mechanisms. However, when several different types of preferences occur in some ... -
Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making
Miguel Turullols, Laura de ; Bustince Sola, Humberto ; Fernández Fernández, Francisco Javier ; Induráin Eraso, Esteban ; Kolesárová, Anna; Mesiar, Radko (Elsevier, 2015) Artículo / ArtikuluaIn this work we introduce a method for constructing linear orders between pairs of intervals by using aggregation functions. We adapt this method to the case of interval-valued Atanassov intuitionistic fuzzy sets and we ... -
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 / ArtikuluaIn 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 / ArtikuluaThe 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 ... -
Degree of totalness: how to choose the best admissible permutation for vector fuzzy integration
Ferrero Jaurrieta, Mikel; Horanská, Lubomíra; Lafuente López, Julio ; Mesiar, Radko; Pereira Dimuro, Graçaliz ; Takáč, Zdenko; Gómez Fernández, Marisol ; Fernández Fernández, Francisco Javier ; Bustince Sola, Humberto (Elsevier, 2023) Artículo / ArtikuluaThe use of aggregation operators that require ordering of the data brings a problem when the structures to be aggregated are multi-valued, since there may be several admissible orders. To addressing this problem, the concept ... -
Directional monotonicity of multidimensional fusion functions with respect to admissible orders
Sesma Sara, Mikel ; Bustince Sola, Humberto ; Mesiar, Radko (Elsevier, 2023) Artículo / ArtikuluaThe notion of directional monotonicity emerged as a relaxation of the monotonicity condition of aggregation functions. As the extension of aggregation functions to fuse more complex information than numeric data, directional ... -
F-homogeneous functions and a generalization of directional monotonicity
Santiago, Regivan; Sesma Sara, Mikel ; Fernández Fernández, Francisco Javier ; Takáč, Zdenko; Mesiar, Radko; Bustince Sola, Humberto (Wiley, 2022) Artículo / ArtikuluaA 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 ... -
A framework for generalized monotonicity of fusion functions
Sesma Sara, Mikel ; Šeliga, Adam; Boczek, Michał; Jin, LeSheng; Kaluszka, Marek; Kalina, Martin; Bustince Sola, Humberto ; Mesiar, Radko (Elsevier, 2023) Artículo / ArtikuluaThe 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 ... -
A generalization of the Choquet integral defined in terms of the Mobius transform
Fernández Fernández, Francisco Javier ; Bustince Sola, Humberto ; Horanská, Lubomíra; Mesiar, Radko; Stupñanová, Andrea (IEEE, 2020) Artículo / ArtikuluaIn this article, we propose a generalization of the Choquet integral, starting fromits definition in terms of the Mobius transform. We modify the product on R considered in the Lovasz extension form of the Choquet integral ... -
Generalized decomposition integral
Horanská, Lubomíra; Bustince Sola, Humberto ; Fernández Fernández, Francisco Javier ; Mesiar, Radko (Elsevier, 2020) Artículo / ArtikuluaIn this paper we propose two different generalizations of the decomposition integral introduced by Even and Lehrer. We modify the product operator merging a given capacity and the decomposition coefficients by some more ... -
Interval-valued Atanassov intuitionistic OWA aggregations using admissible linear orders and their application to decision making
Miguel Turullols, Laura de ; Bustince Sola, Humberto ; Pekala, Barbara; Bentkowska, Urszula; Silva, Ivanoska da; Bedregal, Benjamin ; Mesiar, Radko; Ochoa Lezaun, Gustavo (IEEE, 2016) Artículo / ArtikuluaBased on the definition of admissible order for interval-valued Atanassov intuitionistic fuzzy sets, we study OWA operators in these sets distinguishing between the weights associated to the membership and those associated ... -
The interval-valued Choquet integral based on admissible permutations
Paternain Dallo, Daniel ; Miguel Turullols, Laura de ; Ochoa Lezaun, Gustavo ; Lizasoain Iriso, María Inmaculada ; Mesiar, Radko; Bustince Sola, Humberto (IEEE, 2018) Artículo / ArtikuluaAggregation or fusion of interval data is not a trivial task, since the necessity of arranging data arises in many aggregation functions, such as OWA operators or the Choquet integral. Some arranging procedures have been ... -
Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
Zhu, Chen; Jin, LeSheng; Mesiar, Radko; Yager, Ronald R.; Paternain Dallo, Daniel ; Bustince Sola, Humberto (Wiley, 2019) Artículo / ArtikuluaExisting extensions to Yager's ordered weighted aver-aging (OWA) operators enlarge the application rangeand to encompass more principles and properties relatedto OWA aggregation. However, these extensions do notprovide a ... -
A new family of aggregation functions for intervals
Díaz-Vázquez, Susana; Torres-Manzanera, Emilio; Rico, Noelia; Mesiar, Radko; Rodríguez Martínez, Iosu ; Lafuente López, Julio ; Díaz, Irene; Montes, Susana; Bustince Sola, Humberto (Springer, 2024) Artículo / ArtikuluaAggregation operators are unvaluable tools when different pieces of information have to be taken into account with respect to the same object. They allow to obtain a unique outcome when different evaluations are available ... -
New measures for comparing matrices and their application to image processing
Sesma Sara, Mikel ; Miguel Turullols, Laura de ; Pagola Barrio, Miguel ; Burusco Juandeaburre, Ana ; Mesiar, Radko; Bustince Sola, Humberto (Elsevier, 2018) Artículo / ArtikuluaIn 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 ... -
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 / ArtikuluaIn 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 / ArtikuluaIn 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 / ArtikuluaIn 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 ... -
Some bipolar-preferences-involved aggregation methods for a sequence of OWA weight vectors
Jin, LeSheng; Yager, Ronald R.; Chen, Zhen-Song; Špirková, Jana; Paternain Dallo, Daniel ; Mesiar, Radko; Bustince Sola, Humberto (Springer, 2021) Artículo / ArtikuluaThe ordered weighted averaging (OWA) operator and its associated weight vectors have been both theoretically and practically verified to be powerful and effective in modeling the optimism/pessimism preference of decision ... -
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 / ArtikuluaIn 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 ...