• A map characterizing the fuzzy points and columns of a T-indistinguishability operator 

      Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (2005-10)
      Article
      Accés obert
      A new map (ΛE) between fuzzy subsets of a universe X endowed with a T-indistinguishability operator E is introduced. The main feature of ΛE is that it has the columns of E as fixed points, and thus it provides us with a ...
    • Aggregating T-equivalence relations 

      Mayor, Gaspar; Recasens Ferrés, Jorge (2016)
      Text en actes de congrés
      Accés obert
      This contribution deals with the problem of aggregating Tequivalence relations, in the sense that we are looking for functions that preserve reflexivity, symmetry, and transitivity with respect to a given t-norm T. We ...
    • Design of a rule-driven architecture for a genetic T-norm 

      Frías Martínez, Enrique; Gutiérrez Ríos, Julio; Fernández Hernández, Felipe (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2000)
      Article
      Accés obert
      Rule-Driven processing has been proved as a way of achieving high speed in fuzzy hardware. Up to now, rule-driven architectures were designed to work with minimum or product as T-norm. This paper proposes two new ...
    • Eigenvectors and generators of fuzzy relations 

      Jacas Moral, Juan; Recasens Ferrés, Jorge (-, 1992)
      Text en actes de congrés
      Accés restringit per política de l'editorial
      A new geometric approach to the study of the eigenvectors is provided. The T-eigenvectors of a T-indistinguishability operator are characterized as its generators in the sense of the representation theorem of L. Valverde ...
    • Fifty years of similarity relations: a survey of foundations and applications 

      Recasens Ferrés, Jorge (2021-11-18)
      Article
      Accés obert
      On the occasion of the 50th anniversary of the publication of Zadeh's significant paper Similarity Relations and Fuzzy Orderings, an account of the development of similarity relations during this time will be given. Moreover, ...
    • Fuzzy numbers and equality relations 

      Jacas Moral, Juan; Recasens Ferrés, Jorge (IEEE pub., 1993)
      Text en actes de congrés
      Accés restringit per política de l'editorial
      A general approach to the concept of fuzzy number associated to a generalized equality on the real line is given. As a result, the use of triangular and trapezoidal fuzzy numbers, among other types, is justified and a ...
    • On the degree of transitivity of a fuzzy relation 

      Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (2021-01-01)
      Article
      Accés obert
      Considering a family generated from a t-norm T, the degree of T-transitivity of a fuzzy relation R is revisited and proved to coincide with the greatest c for which R is -transitive. This fact gives rise to the study of ...
    • Partial orderings for hesitant fuzzy sets 

      Garmendia Salvador, Luis; González del Campo, Ramón; Recasens Ferrés, Jorge (2017-05-01)
      Article
      Accés obert
      New partial orderings =o=o, =p=p and =H=H are defined, studied and compared on the set HH of finite subsets of the unit interval with special emphasis on the last one. Since comparing two sets of the same cardinality is a ...