Listar por autor "Mesiar, Radko"
Mostrando ítems 1-20 de 33
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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 ... -
Construction of capacities from overlap indexes
Sanz Delgado, José Antonio ; Galar Idoate, Mikel ; Mesiar, Radko; Bustince Sola, Humberto ; Fernández Fernández, Francisco Javier (Springer, 2017) Capítulo de libro / Liburuen kapituluaIn this chapter, we show how the concepts of overlap function and overlap index can be used to define fuzzy measures which depend on the specific data of each considered problem. -
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 ... -
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 ekarpenaCurve-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 ... -
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 ... -
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 ekarpenaIn 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 ekarpenaIn 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 ... -
The evolution of the notion of overlap functions
Bustince Sola, Humberto ; Mesiar, Radko; Pereira Dimuro, Graçaliz ; Fernández Fernández, Francisco Javier ; Bedregal, Benjamin (Springer, 2021) Capítulo de libro / Liburuen kapituluaIn 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 ... -
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 ... -
Generalized forms of monotonicity in the data aggregation framework
El proceso de agregación trata el problema de combinar una colección de valores numéricos en un único valor que los represente y las funciones encargadas de esta operación se denominan funciones de agregación. A las ... -
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 ... -
Local properties of strengthened ordered directional and other forms of monotonicity
Sesma Sara, Mikel ; Miguel Turullols, Laura de ; Mesiar, Radko; Fernández Fernández, Francisco Javier ; Bustince Sola, Humberto (Springer, 2019) Contribución a congreso / Biltzarrerako ekarpenaIn 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 ... -
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 ...