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    • Searching for meaning on defuzzification 

      Recasens Ferrés, Jorge; Boixader Ibáñez, Dionís; Jacas Moral, Juan (1999-10)
      Article
      Accés restringit per política de l'editorial
      Defuzzification is an essential problem in fuzzy systems that it is always solved in a heuristic way. The aim of this work is to give a semantic interpretation to this process with the help of indistinguishability operators

    • Several methods to build Multiresolution Indistinguishability Systems 

      Rodríguez de Soto, Adolfo; Recasens Ferrés, Jorge (2012)
      Text en actes de congrés
      Accés restringit per política de l'editorial

    • Sobre la representació i generació de relacions d'indistingibilitat 

      Recasens Ferrés, Jorge (Universitat Politècnica de Catalunya, 1992-03-06)
      Tesi
      Accés obert
      La determinació d'una igualtat és essencial en tota teoria perquè equival al problema de discernir els objectes dels què tracta. <br/>Ho és perquè permet classificar en el context de la teoria; i classificar és un dels ...

    • Some characterizations of T-power based implications 

      Massanet, Sebastià; Recasens Ferrés, Jorge; Torrens Serra, Joan (2019-03-15)
      Article
      Accés obert
      Recently, the so-called family of T-power based implications was introduced. These operators involve the use of Zadeh’s quantifiers based on powers of t-norms in its definition. Due to the fact that Zadeh’s quantifiers ...

    • Some illustrative examples of permutability of fuzzy operators and fuzzy relations 

      Carmona, Neus; Elorza, Jorge; Recasens Ferrés, Jorge; Bragard, Jean (2014)
      Text en actes de congrés
      Accés obert
      Composition of fuzzy operators often appears and it is natural to ask when the order of composition does not change the result. In previous papers, we characterized permutability in the case of fuzzy consequence operators ...

    • Some sets of indistinguishability operators as multiresolution families 

      Rodriguez De Soto, Adolfo; Recasens Ferrés, Jorge (2015)
      Article
      Accés obert
      Multiresolution is a general mathematical concept that allows us to study a property by means of several changes of resolution. From axed resolution, a coarser projection can be calculated and then the changes between aner ...

    • Structural analysis of indistinguishability operators and related concepts 

      Mattioli Aramburu, Gabriel; Recasens Ferrés, Jorge (2013-06-20)
      Article
      Accés restringit per política de l'editorial
      Given an indistinguishability operator E, it is possible to obtain the set of extensional fuzzy subsets HEHE and the respective operators of upper and lower approximations by extensional sets ¿E¿E and ¿E¿E. Reciprocally, ...

    • T-equivalences : the metric behavior revisited 

      Fuster-Parra, Pilar; Martín Broto, Javier; Recasens Ferrés, Jorge; Valero Sierra, Óscar (Multidisciplinary Digital Publishing Institute (MDPI), 2020-04-01)
      Article
      Accés obert
      Since the notion of T-equivalence, where T is a t-norm, was introduced as a fuzzy generalization of the notion of crisp equivalence relation, many researchers have worked in the study of the metric behavior of such fuzzy ...

    • T-generable indistinguishability operators and their use for feature selection and classification. 

      Armengol, Eva; Boixader Ibáñez, Dionís; Garcia-Cerdaña, Angel; Recasens Ferrés, Jorge (2019)
      Article
      Accés obert

    • T-Indistinguishability Operators with respect to Ordinal Sums. 

      Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (2012)
      Text en actes de congrés
      Accés obert

    • The group of isometries of an indistinguishability operator 

      Jacas Moral, Juan; Recasens Ferrés, Jorge (2004-08)
      Article
      Accés restringit per política de l'editorial
      This paper studies some geometric aspects of indistinguishability operators (also called similarities and fuzzy equivalences). Concretely, it will be focused on the (geometric) group associated to a T-indistinguishability ...

    • The Length and Betweenness Relations of Indistinguishability Operators 

      Boixader Ibáñez, Dionís; Jacas Moral, Juan; Recasens Ferrés, Jorge (1999-06)
      Article
      Accés restringit per política de l'editorial
      The most common ways used to generate indistinguishability operators, namely as transitive closure of reexive and symmetric fuzzy relation, via the Representation Theorem and as decomposable relations, is related for ...

    • The structure of decomposable indistinguishability operators 

      Recasens Ferrés, Jorge (2008-11)
      Article
      Accés restringit per política de l'editorial
      Decomposable fuzzy relations are studied. Symmetric fuzzy relations are proved to be generated by a single fuzzy subset. For Archimedean t-norms, decomposable indistinguishability operators generate special kinds of ...

    • Transitive closure and betweenness relations 

      Boixader Ibáñez, Dionís; Jacas Moral, Juan; Recasens Ferrés, Jorge (2001-06)
      Article
      Accés restringit per política de l'editorial
      Indistinguishability operators fuzzify the concept of equivalence relation and have been proved a useful tool in theoretical studies as well as in di0erent applications such as fuzzy control or approximate reasoning. One ...

    • Transitive closure of interval-valued fuzzy relations 

      González del Campo, Ramón; Garmendia Salvador, Luis; Recasens Ferrés, Jorge (2013-07)
      Article
      Accés obert
      In this paper are introduced some concepts of interval-valued fuzzy relations and some of their properties: reflexivity, symmetry, T-transitivity, composition and local reflexivity. The existence and uniqueness of T-transitive ...

    • Transitive Closure of Interval-valued Relations 

      González del Campo, Ramón; Garmendia Salvador, Luis; Recasens Ferrés, Jorge (2009)
      Text en actes de congrés
      Accés obert
      This paper introduces some concepts of intervalvalued fuzzy relations and some of their properties: reflexivity, symmetry, T-transitivity, composition and locally reflexivity. It is also introduced the concept of T-transitive ...

    • Transitive Openings 

      Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (2011)
      Text en actes de congrés
      Accés obert

    • Transitivity of fuzzy relations under discretization 

      Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (2013-07-10)
      Article
      Accés restringit per política de l'editorial
      Fuzzy transitivity is a key property for many fuzzy relational structures, such as fuzzy preorders and equivalences. Theoretical models for practical problems which are based on fuzzy relations make use of continuous scales, ...

    • Upper and Lower Approximations of Fuzzy Sets 

      Boixader Ibáñez, Dionís; Jacas Moral, Juan; Recasens Ferrés, Jorge (2000-09)
      Article
      Accés restringit per política de l'editorial
      The upper and lower approximations of a fuzzy subset with respect to an indistinguish-ability operator are studied. Their relations with fuzzy rough sets are also investigated

    • Vague and fuzzy t-norms and t-conorms 

      Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (2021-01-01)
      Article
      Accés obert
      t-norms and t-conorms are the natural connectives “and” and “or” in fuzzy logic. The unit interval with a t-norm or a t-conorm is a special monoid and some submonoids like discrete t-norms and t-conorms have been proved ...