Now showing items 1-17 of 17

    • Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making 

      Miguel Turullols, Laura de Upna; Bustince Sola, Humberto Upna; Fernández Fernández, Francisco Javier Upna; Induráin Eraso, Esteban Upna; 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 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; 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 ...
    • Generalized forms of monotonicity in the data aggregation framework 

      Sesma Sara, Mikel Upna (2019)   Tesis doctoral / Doktoretza tesia
      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; Bustince Sola, Humberto Upna; Pekala, Barbara; Bentkowska, Urszula; Silva, Ivanoska da; Bedregal, Benjamin; Mesiar, Radko; Ochoa Lezaun, Gustavo Upna (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; Miguel Turullols, Laura de Upna; Ochoa Lezaun, Gustavo Upna; Lizasoain Iriso, María Inmaculada Upna; Mesiar, Radko; Bustince Sola, Humberto Upna (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; Miguel Turullols, Laura de Upna; Mesiar, Radko; Fernández Fernández, Francisco Javier Upna; Bustince Sola, Humberto Upna (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; Bustince Sola, Humberto Upna (Wiley, 2019)   Artículo / Artikulua
      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 ...
    • New measures for comparing matrices and their application to image processing 

      Sesma Sara, Mikel Upna; Miguel Turullols, Laura de Upna; Pagola Barrio, Miguel Upna; Burusco Juandeaburre, Ana Upna; Mesiar, Radko; Bustince Sola, Humberto Upna (Elsevier, 2018)   Artículo / Artikulua
      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; 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 ...
    • OWA operators based on admissible permutations 

      Paternain Dallo, Daniel Upna; Jin, LeSheng; Mesiar, Radko; Vavríková, Lucia; Bustince Sola, Humberto Upna (IEEE, 2019)   Contribución a congreso / Biltzarrerako ekarpena
      In this work we propose a new OWA operator defined on bounded convex posets of a vector-lattice. In order to overcome the non-existence of a total order, which is necessary to obtain a non-decreasing arrangement of the ...
    • Pre-aggregation functions: construction and an application 

      Lucca, Giancarlo; Sanz Delgado, José Antonio Upna; Pereira Dimuro, Graçaliz Upna; Bedregal, Benjamin; 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 ...