• 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 ...
    • Construction of capacities from overlap indexes 

      Sanz Delgado, José Antonio Upna Orcid; Galar Idoate, Mikel Upna Orcid; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid (Springer, 2017)   Capítulo de libro / Liburuen kapitulua  OpenAccess
      In 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 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 ...
    • Description and properties of curve-based monotone functions 

      Sesma Sara, Mikel Upna Orcid; Miguel Turullols, Laura de Upna Orcid; Roldán López de Hierro, Antonio Francisco; Špirková, Jana; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid (Springer, 2019)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      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 ...
    • 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 ...
    • Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators 

      Sesma Sara, Mikel Upna Orcid; Marco Detchart, Cedric Upna Orcid; Lafuente López, Julio Upna Orcid; Roldán López de Hierro, Antonio Francisco; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid (IEEE, 2019)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      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 Upna Orcid; Mesiar, Radko; Fernández Fernández, Francisco Javier Upna Orcid; Galar Idoate, Mikel Upna Orcid; Paternain Dallo, Daniel Upna Orcid (Springer, 2020)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      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 ...
    • The evolution of the notion of overlap functions 

      Bustince Sola, Humberto Upna Orcid; Mesiar, Radko; Pereira Dimuro, Graçaliz Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Bedregal, Benjamin Upna Orcid (Springer, 2021)   Capítulo de libro / Liburuen kapitulua  OpenAccess
      In 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 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 ...
    • Generalized forms of monotonicity in the data aggregation framework 

      Sesma Sara, Mikel Upna Orcid (2019)   Tesis doctoral / Doktoretza tesia  OpenAccess
      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 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 ...
    • Local properties of strengthened ordered directional and other forms of monotonicity 

      Sesma Sara, Mikel Upna Orcid; Miguel Turullols, Laura de Upna Orcid; Mesiar, Radko; Fernández Fernández, Francisco Javier Upna Orcid; Bustince Sola, Humberto Upna Orcid (Springer, 2019)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      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 ...
    • 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 ...

      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).
      Logo MinisterioLogo Fecyt