Now showing items 1-10 of 10

    • Curve-based monotonicity: a generalization of directional monotonicity 

      Roldán López de Hierro, Antonio F.; Sesma Sara, Mikel Upna; Špirková, Jana; Lafuente López, Julio Upna; Pradera, Ana; Mesiar, Radko; Bustince Sola, Humberto Upna (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; Mesiar, Radko; Fernández Fernández, Francisco Javier Upna; Galar Idoate, Mikel Upna; Paternain Dallo, Daniel Upna; Altalhi, A. H.; Pereira Dimuro, Graçaliz Upna; Bedregal, Benjamin Upna; Takáč, Zdenko (Elsevier, 2020)   Artículo / Artikulua
      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 ...
    • Description and properties of curve-based monotone functions 

      Sesma Sara, Mikel Upna; Miguel Turullols, Laura de Upna; Roldán López de Hierro, Antonio F.; Špirková, Jana; Mesiar, Radko; Bustince Sola, Humberto Upna (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 ...
    • Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators 

      Sesma Sara, Mikel Upna; Marco Detchart, Cedric Upna; Lafuente López, Julio Upna; Roldán, Antonio; Mesiar, Radko; Bustince Sola, Humberto Upna (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 ...
    • Mixture functions and their monotonicity 

      Špirková, Jana; Beliakov, Gleb Upna; Bustince Sola, Humberto Upna; Fernández Fernández, Francisco Javier Upna (Elsevier, 2019)   Artículo / Artikulua  OpenAccess
      We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need ...
    • On some classes of directionally monotone functions 

      Bustince Sola, Humberto Upna; Mesiar, Radko; Kolesárová, Anna; Pereira Dimuro, Graçaliz Upna; Fernández Fernández, Francisco Javier Upna; Díaz, Irene; Montes, S. (Elsevier, 2020)   Artículo / Artikulua
      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 ...
    • Pre-aggregation functions: construction and an application 

      Lucca, Giancarlo; Sanz Delgado, José Antonio Upna; Pereira Dimuro, Graçaliz Upna; Bedregal, Benjamin Upna; Mesiar, Radko; Kolesárová, Anna; Bustince Sola, Humberto Upna (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 ...
    • Strengthened ordered directional and other generalizations of monotonicity for aggregation functions 

      Sesma Sara, Mikel Upna; Miguel Turullols, Laura de Upna; Lafuente López, Julio Upna; Barrenechea Tartas, Edurne Upna; Mesiar, Radko; Bustince Sola, Humberto Upna (Springer, 2018)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      A tendency in the theory of aggregation functions is the generalization of the monotonicity condition. In this work, we examine the latest developments in terms of different generalizations. In particular, we discuss ...
    • Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity 

      Sesma Sara, Mikel Upna; Lafuente López, Julio Upna; Roldán, Antonio; Mesiar, Radko; Bustince Sola, Humberto Upna (Elsevier, 2019)   Artículo / Artikulua
      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 ...
    • Weak and directional monotonicity of functions on Riesz spaces to fuse uncertain data 

      Sesma Sara, Mikel Upna; Mesiar, Radko; Bustince Sola, Humberto Upna (Elsevier B.V., 2019)   Artículo / Artikulua
      In the theory of aggregation, there is a trend towards the relaxation of the axiom of monotonicity and also towards the extension of the definition to other domains besides real numbers. In this work, we join both approaches ...