Now showing items 1-20 of 22

    • 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 F.; 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; 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 Orcid; Miguel Turullols, Laura de Upna Orcid; Roldán López de Hierro, Antonio F.; 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 ...
    • 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 F.; 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; Dimuro, Graçaliz Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Bedregal, B. (Springer, 2021)   Capítulo de libro / Liburuen kapitulua
      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 ...
    • A generalization of the Choquet integral defined in terms of the Mobius transform 

      Fernández Fernández, Francisco Javier Upna Orcid; Bustince Sola, Humberto Upna Orcid; Horanska, L'ubomira; 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, L’ubomíra; Bustince Sola, Humberto Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Mesiar, Radko (Elsevier, 2020)   Artículo / Artikulua
      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; 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 ...
    • 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, 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 Orcid; Jin, LeSheng; Mesiar, Radko; Vavríková, Lucia; Bustince Sola, Humberto Upna Orcid (IEEE, 2019)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      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 Orcid; Pereira Dimuro, Graçaliz Upna Orcid; Bedregal, Benjamin Upna; 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 ...
    • Strengthened ordered directional and other generalizations of monotonicity for aggregation functions 

      Sesma Sara, Mikel Upna Orcid; Miguel Turullols, Laura de Upna Orcid; Lafuente López, Julio Upna Orcid; Barrenechea Tartas, Edurne Upna Orcid; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid (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 ...