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  • An algorithm for group decision making using n -dimensional fuzzy sets, admissible orders and OWA operators 

    Miguel Turullols, Laura de; Sesma Sara, Mikel; Elkano Ilintxeta, Mikel; Asiain Ollo, María José; Bustince Sola, Humberto (Elsevier, 2017)   Artículo / Artikulua
    In this paper we propose an algorithm to solve group decision making problems using n -dimensional fuzzy sets, namely, sets in which the membership degree of each element to the set is given by an in- creasing tuple of n ...
  • Pointwise aggregation of maps: its structural functional equation and some applications to social choice theory 

    Miguel Turullols, Laura de; Campión Arrastia, María Jesús; Candeal, Juan Carlos; Induráin Eraso, Esteban; Paternain Dallo, Daniel (Elsevier, 2017)   Artículo / Artikulua
    We study a structural functional equation that is directly related to the pointwise aggregation of a finite number of maps from a given nonempty set into another. First we establish links between pointwise aggregation and ...
  • Type-2 fuzzy entropy-sets 

    Miguel Turullols, Laura de; Santos, Helida; Sesma Sara, Mikel; Bedregal, Benjamin; Jurío Munárriz, Aránzazu; Bustince Sola, Humberto (IEEE, 2017)   Artículo / Artikulua
    The final goal of this study is to adapt the concept of fuzzy entropy of De Luca and Termini to deal with Type-2 Fuzzy Sets. We denote this concept Type-2 Fuzzy Entropy-Set. However, the construction of the notion of ...
  • Some properties of implications via aggregation functions and overlap functions 

    Zapata, Hugo; Bustince Sola, Humberto; Miguel Turullols, Laura de; Guerra, Carlos (Taylor & Francis, 2014)   Artículo / Artikulua
    In this work, using the identification between implication operators and aggregation functions, we study the implication operators that are recovered from overlap functions. In particular, we focus in which properties ...
  • Adjusting fuzzy automata for string similarity measuring 

    Astrain Escola, José Javier; Villadangos Alonso, Jesús; González de Mendívil Moreno, José Ramón; Garitagoitia Padrones, José Ramón; Fariña Figueredo, Federico (EUSFLAT, 2001)   Congreso / Biltzarra
    In this paper, we introduce a fuzzy automaton for computing the similarity between pairs of strings and a genetic method for adjusting its parameters. The fuzzy automaton models the edit operations needed to transform ...
  • On fuzzy orderings of crisp and fuzzy intervals 

    Fuentes González, Ramón; Burillo López, Pedro; Mayor, Gaspar (EUSFLAT, 2001)   Congreso / Biltzarra
    First, fuzzy membership functions for the assertion '[x,y] is a positive interval' are proposed and characterized via non-decreasing real maps. Last, using those functions together with the intervaldifference and the ...
  • Overtaker binary relations on complete completely distributive lattices related to the level sets of the L-fuzzy sets 

    Núñez, A.; Burillo López, Pedro; Fuentes González, Ramón; González, L. (Universitat Politècnica de Catalunya, 1994)   Artículo / Artikulua
    The class of overtaker binary relations associated with the order in a lattice is defined and used to generalize the representations of L-fuzzy sets by means of level sets or fuzzy points.
  • On completeness and direction in fuzzy relational systems 

    Burillo López, Pedro; Fuentes González, Ramón; González, L. (Universitat Politècnica de Catalunya, 1998)   Artículo / Artikulua
    The concepts of bounded subset, complete subset and directed subset, which are well known in the context of partially ordered sets (X, ≤), are extended in order to become applicable, with coherence, in fuzzy relational ...
  • Intuitionistic fuzzy relations (Part I) 

    Burillo López, Pedro; Bustince Sola, Humberto (Universitat Politècnica de Catalunya, 1995)   Artículo / Artikulua
    This paper introduces the concept of intuitionistic fuzzy relation. We also study the choice of t-norms and t-conorms which must be done in order that the composition of intuitionistic fuzzy relations fulfills the largest ...
  • Intuitionistic fuzzy relations (Part II). Effect of Atanassov's operators on the properties of the intuitionistic fuzzy relations 

    Burillo López, Pedro; Bustince Sola, Humberto (Universitat Politècnica de Catalunya, 1995)   Artículo / Artikulua
    In this paper we study the effect of Atanassov's operator on the properties of properties reflexive, symmetric, antisymmetric, perfect antisymmetric and transitive intuitionistic fuzzy relations. We finish the paper analysing ...
  • Parametric families of fuzzy consequence operators 

    Elorza Barbajero, Jorge; Burillo López, Pedro (Universitat Politècnica de Catalunya, 2004)   Artículo / Artikulua
    In a previous paper we explored the notion of coherent fuzzy consequence operator. Since we did not know of any example in the literature of non-coherent fuzzy consequence operator, we also showed several families of such ...
  • On contrast intensification operators and fuzzy equality relations 

    Burillo López, Pedro; Fuentes González, Ramón; González, L.; Marín Martínez, Ángel (Universitat Politècnica de Catalunya, 2000)   Artículo / Artikulua
    The class of contrast intensification operators is formally defined and its lattice structure studied. The effect of these operators in the referential classification derived from special kinds of fuzzy relations is also ...
  • Fuzzy morphological operators in image processing 

    Burillo López, Pedro; Frago Paños, Noé Natalio; Fuentes González, Ramón (Universitat Politècnica de Catalunya, 2003)   Artículo / Artikulua
    First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Luckasiewicz´s one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this ...
  • Generation of fuzzy mathematical morphologies 

    Burillo López, Pedro; Frago Paños, Noé Natalio; Fuentes González, Ramón (Universitat Politècnica de Catalunya, 2001)   Artículo / Artikulua
    Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce ...
  • New trends on the numerical representability of semiordered structures 

    Abrísqueta Usaola, Francisco Javier; Campión Arrastia, María Jesús; García Catalán, Olga Raquel; Miguel Velasco, Juan Ramón de; Estevan Muguerza, Asier; Induráin Eraso, Esteban; Zudaire Sarobe, Margarita; Agud, L.; Candeal, Juan Carlos; Díaz, S.; Martinetti, D.; Montes, S.; Gutiérrez García, J. (EUSFLAT, 2012)   Artículo / Artikulua
    We introduce a survey, including the historical background, on di erent techniques that have recently been issued in the search for a characterization of the representability of semiordered structures, in the sense of ...
  • Extensions of fuzzy sets in image processing: an overview 

    Pagola Barrio, Miguel; Barrenechea Tartas, Edurne; Bustince Sola, Humberto; Fernández Fernández, Francisco Javier; Galar Idoate, Mikel; Jurío Munárriz, Aránzazu; López Molina, Carlos; Paternain Dallo, Daniel; Sanz Delgado, José Antonio; Couto, P.; Melo Pinto, P. (EUSFLAT, 2011)   Artículo / Artikulua
    This work presents a valuable review for the interested reader of the recent Works using extensions of fuzzy sets in image processing. The chapter is divided as follows: first we recall the basics of the extensions of fuzzy ...
  • Posibles nuevas vías de investigación en teoría de la comunicación a través de modelos matemáticos: análisis topológico 

    Gracia Sanz, Jesús; Burillo López, Pedro (Centro de Investigaciones Sociológicas, 1978)   Artículo / Artikulua
    Uno de los pocos puntos en los que los metodólogos de las ciencias sociales están de acuerdo es el divorcio existente entre trabajo teórico y trabajo metodológico en las prácticas sociales concretas. Por otro lado, para ...
  • Orderings in the referential set induced by intuitionistic fuzzy relation 

    Burillo López, Pedro; Bustince Sola, Humberto (Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 1995)   Artículo / Artikulua
    In this paper we present different orderings in the referential set induced by intuitionistic fuzzy relations of ordering. We can see how these induced orders justify the definition given of intuitionistic fuzzy antisymmetry ...
  • About the intuitionistic fuzzy set generators 

    Bustince Sola, Humberto; Mohedano Salillas, Victoria (Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 1997)   Congreso / Biltzarra
    In this paper form the definition of intuitionistic fuzzy sets we analyze the intuitionistic fuzzy generators and the complementation in these sets. We start by defining the intuitionistic fuzzy generators in order to then ...
  • On the intuitionistic fuzzy relations 

    Burillo López, Pedro; Bustince Sola, Humberto; Atanassov, Krassimir (Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 1995)   Artículo / Artikulua
    Intuitionistic fuzzy relations which generalize the already existing relations are introduced and their basic properties are shown.

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