Now showing items 1-6 of 6

    • Averaging Premises 

      Trillas i Gay, Enric; Castiñeira Holgado, Elena Esther; Cubillo Villanueva, Susana (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2001)
      Article
      Open Access
      This paper deals with the sets of strict conjectures and consequences of a given collection $P$ of premises. The set of Averaging Functions is introduced on lattices and some properties of these functions are shown. ...
    • Modus ponens on Boolean algebras revisited 

      Trillas i Gay, Enric; Cubillo Villanueva, Susana (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1996)
      Article
      Open Access
      In a Boolean Algebra B, an inequality f(x,x -> y))<=y satisfying the condition f(1,1)=1, is considered for defining operations a->b among the elements of B. These operations are called ``Conditionals'' for f. In this paper, ...
    • On some inexact relations in probabilized Boolean algebras 

      Cubillo Villanueva, Susana (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
      Article
      Open Access
      This paper is devoted to characterize monotonicity, conditionality and transitivity of some rational relations defined in a probabilized Boolean Algebra
    • On the identity of fuzzy material conditionals 

      Trillas i Gay, Enric; Cubillo Villanueva, Susana; Rodríguez de Soto, Adolfo (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
      Article
      Open Access
      Given $\mu , \; \eta :X \rightarrow [0,1]$ we study when the equality $I_{\mu }^{T}=I_{\eta }^{T}$ holds, $T$ being a continuous t-norm, and $I_{\theta }^{T}$ the elemental preorder:\\ \[ I_{\theta }^{T}(y/x) = sup \{z\; ...
    • Ovchinnikov's automorphisms revisited 

      Trillas i Gay, Enric; Rodríguez, A.; Cubillo Villanueva, Susana (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
      Article
      Open Access
      In [6] an approach to the representation of synonyms and antonyms via the automorphisms of the De Morgan Algebra [0,1] x was suggested. In [3], Ovchinnikov established a representation theorem for automorphisms of the ...
    • Searching degrees of self-contradiction in Atanassov's fuzzy sets 

      Castiñeira Holgado, Elena Esther; Cubillo Villanueva, Susana; Torres-Blanc, Carmen (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2006)
      Article
      Open Access
      In [11] and [12] Trillas et al. introduced the study of contradiction in the framework of Fuzzy Logic because of the significance to avoid contradictory outputs in the processes of inference. Later, the study of contradiction ...