Recent Submissions

  • Permutable fuzzy consequence and interior operators and their connection with fuzzy relations 

    Carmona, Neus; Elorza Barbajero, Jorge; Recasens Ferrés, Jorge; Bragard, Jean (2015-07-20)
    Article
    Restricted access - publisher's policy
    Fuzzy operators are an essential tool in many fields and the operation of composition is often needed. In general, composition is not a commutative operation. However, it is very useful to have operators for which the order ...
  • Transitive closure of interval-valued fuzzy relations 

    González del Campo, Ramón; Garmendia Salvador, Luis; Recasens Ferrés, Jorge (2013-07)
    Article
    Open Access
    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 ...
  • On the Induction of New Fuzzy Relations, New Fuzzy Operators and Their Aggregation 

    Carmona Cervelló, Neus; Elorza, Jorge; Recasens Ferrés, Jorge; Bragard, Jean (Springer, 2013)
    Article
    Open Access
    In this paper we generate fuzzy relations and fuzzy operators using different kind of generators and we study the relationship between them. Firstly, we introduce a new fuzzy preorder induced by a fuzzy operator. We ...
  • Permutability of fuzzy consequence operators and fuzzy interior operators 

    Carmona, Neus; Elorza, Jorge; Recasens Ferrés, Jorge; Bragard, Jean (2013)
    Article
    Restricted access - publisher's policy
    In this paper we study the permutability of the composition of fuzzy consequence operators (fuzzy closings) and fuzzy interior operators (fuzzy openings). We establish several characterizations and we show the relation of ...
  • Aggregation operators and quadric hypersurfaces 

    Recasens Ferrés, Jorge (Springer, 2013)
    Article
    Open Access
    Aggregation operators that are quadric hypersurfaces are studied. The interest lays in the fact that the most popular aggregation operators are indeed quadric hypersurfaces.
  • Comparison of different algorithms of approximation by extensional fuzzy subsets 

    Mattioli Aramburu, Gabriel; Recasens Ferrés, Jorge (Springer, 2013)
    Article
    Open Access
    How to approximate an arbitrary fuzzy subset by an adequate extensional one is a key question within the theory of Extensional Fuzzy Subsets. In a recent paper by the authors [19] different methods were provided to find ...
  • Structural analysis of indistinguishability operators and related concepts 

    Mattioli Aramburu, Gabriel; Recasens Ferrés, Jorge (2013-06-20)
    Article
    Restricted access - publisher's policy
    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, ...
  • Searching for meaning on defuzzification 

    Recasens Ferrés, Jorge; Boixader Ibáñez, Dionís; Jacas Moral, Juan (1999-10)
    Article
    Restricted access - publisher's policy
    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
  • Upper and Lower Approximations of Fuzzy Sets 

    Boixader Ibáñez, Dionís; Jacas Moral, Juan; Recasens Ferrés, Jorge (2000-09)
    Article
    Restricted access - publisher's policy
    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
  • The Length and Betweenness Relations of Indistinguishability Operators 

    Boixader Ibáñez, Dionís; Jacas Moral, Juan; Recasens Ferrés, Jorge (1999-06)
    Article
    Restricted access - publisher's policy
    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 ...

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