• 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 Upna Orcid (Springer, 2022)   Artículo / Artikulua  OpenAccess
      Decision-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 Upna Orcid; Bustince Sola, Humberto Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Kolesárová, Anna; Mesiar, Radko (Elsevier, 2015)   Artículo / Artikulua  OpenAccess
      In 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 Upna Orcid; Špirková, Jana; Lafuente López, Julio Upna Orcid; Pradera, Ana; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid (Taylor & Francis, 2019)   Artículo / Artikulua  OpenAccess
      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 Upna Orcid; Mesiar, Radko; Fernández Fernández, Francisco Javier Upna Orcid; Galar Idoate, Mikel Upna Orcid; Paternain Dallo, Daniel Upna Orcid; Altalhi, A. H.; Pereira Dimuro, Graçaliz Upna Orcid; Bedregal, Benjamin Upna Orcid; Takáč, Zdenko (Elsevier, 2020)   Artículo / Artikulua  OpenAccess
      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 ...
    • Degree of totalness: how to choose the best admissible permutation for vector fuzzy integration 

      Ferrero Jaurrieta, Mikel; Horanská, Lubomíra; Lafuente López, Julio Upna Orcid; Mesiar, Radko; Pereira Dimuro, Graçaliz Upna Orcid; Takáč, Zdenko; Gómez Fernández, Marisol Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Bustince Sola, Humberto Upna Orcid (Elsevier, 2023)   Artículo / Artikulua
      The 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 Upna Orcid; Bustince Sola, Humberto Upna Orcid; Mesiar, Radko (Elsevier, 2023)   Artículo / Artikulua
      The 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 Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Takáč, Zdenko; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid (Wiley, 2022)   Artículo / Artikulua  OpenAccess
      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 ...
    • A framework for generalized monotonicity of fusion functions 

      Sesma Sara, Mikel Upna Orcid; Šeliga, Adam; Boczek, Michał; Jin, LeSheng; Kaluszka, Marek; Kalina, Martin; Bustince Sola, Humberto Upna Orcid; Mesiar, Radko (Elsevier, 2023)   Artículo / Artikulua  OpenAccess
      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 ...
    • A generalization of the Choquet integral defined in terms of the Mobius transform 

      Fernández Fernández, Francisco Javier Upna Orcid; Bustince Sola, Humberto Upna Orcid; Horanská, Lubomíra; Mesiar, Radko; Stupñanová, Andrea (IEEE, 2020)   Artículo / Artikulua  OpenAccess
      In 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 Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Mesiar, Radko (Elsevier, 2020)   Artículo / Artikulua  OpenAccess
      In 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 Upna Orcid; Bustince Sola, Humberto Upna Orcid; Pekala, Barbara; Bentkowska, Urszula; Silva, Ivanoska da; Bedregal, Benjamin Upna Orcid; Mesiar, Radko; Ochoa Lezaun, Gustavo Upna Orcid (IEEE, 2016)   Artículo / Artikulua  OpenAccess
      Based 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 Upna Orcid; Miguel Turullols, Laura de Upna Orcid; Ochoa Lezaun, Gustavo Upna Orcid; Lizasoain Iriso, María Inmaculada Upna Orcid; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid (IEEE, 2018)   Artículo / Artikulua  OpenAccess
      Aggregation 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 Upna Orcid; Bustince Sola, Humberto Upna Orcid (Wiley, 2019)   Artículo / Artikulua  OpenAccess
      Existing 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 Upna Orcid; Lafuente López, Julio Upna Orcid; Díaz, Irene; Montes, Susana; Bustince Sola, Humberto Upna Orcid (Springer, 2024)   Artículo / Artikulua  OpenAccess
      Aggregation 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 Upna Orcid; Miguel Turullols, Laura de Upna Orcid; Pagola Barrio, Miguel Upna Orcid; Burusco Juandeaburre, Ana Upna Orcid; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid (Elsevier, 2018)   Artículo / Artikulua  OpenAccess
      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 ...
    • On some classes of directionally monotone functions 

      Bustince Sola, Humberto Upna Orcid; Mesiar, Radko; Kolesárová, Anna; Pereira Dimuro, Graçaliz Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Díaz, Irene; Montes Rodríguez, Susana (Elsevier, 2020)   Artículo / Artikulua  OpenAccess
      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 Upna Orcid; Bustince Sola, Humberto Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Mesiar, Radko; Lafuente López, Julio Upna Orcid; Barrenechea Tartas, Edurne Upna Orcid; Pintor Borobia, Jesús María Upna Orcid (Elsevier, 2021)   Artículo / Artikulua  OpenAccess
      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 Upna Orcid; Pereira Dimuro, Graçaliz Upna Orcid; Bedregal, Benjamin Upna Orcid; Mesiar, Radko; Kolesárová, Anna; Bustince Sola, Humberto Upna Orcid (IEEE, 2015)   Artículo / Artikulua  OpenAccess
      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 ...
    • 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 Upna Orcid; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid (Springer, 2021)   Artículo / Artikulua  OpenAccess
      The 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 Upna Orcid; Lafuente López, Julio Upna Orcid; Roldán López de Hierro, Antonio Francisco; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid (Elsevier, 2019)   Artículo / Artikulua  OpenAccess
      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 ...

      El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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