1998, Vol. V, Núm. 1

Summary

  • Some properties concerning the quasi-inverse of a t-norm 

    Boixader Ibáñez, Dionís (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
    Article
    Open Access
    Some properties of the quasi-inverse operators are presented. They are basic tools in order to reduce complex expressions involving several of such operators. An effective calculation for the quasi-inverse of a continuous ...

  • The embedding if the formal concept analysis inte the L-fuzzy concept theory 

    Burusco Juandeaburre, Ana; Fuentes-González, Ramón (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
    Article
    Open Access
    In this work, we study the relation between the concept lattice of Wille ([5], [6]) and the $L-Fuzzy$ concept lattice ([2]) developed by us. To do it, we have defined an application $g$ that associates to each concept ...

  • The logic of neural networks 

    Castro Peña, Juan Luis; Trillas i Gay, Enric (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
    Article
    Open Access
    This paper establishes the equivalence between multilayer feedforward networks and linear combinations of Lukasiewicz propositions. In this sense, multilayer forward networks have a logic ...

  • 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

  • Convex isomorphisms of Archimedean lattice ordered groups 

    Jakubík, Ján (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
    Article
    Open Access
    This paper contains a result of Cantor-Bernstein type concerning archiemedean lattice ordered groups.

  • On some geomtric transformation of t-norms 

    Klement, E. P. (Erich Peter); Mesiar, Radko; Pap, Endre (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
    Article
    Open Access
    Given a triangular norm $T$, its $t$-reverse $T^*$, introduced by C. Kimberling ({\it Publ. Math. Debrecen} 20, 21-39, 1973) under the name invert, is studied. The question under which conditions we have $ T^{**} = T$ is ...

  • On (anti) conditional independence in Dempster-Shafer theory 

    Klopotek, Mieczyslaw A. (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
    Article
    Open Access
    This paper verifies a result of [9] concerning graphoidal structure of Shenoy's notion of independence for Dempster-Shafer theory of belief functions. Shenoy proved that his notion of independence has graphoidal ...

  • Triangular norm-based addition preserving linearity of t-sums of linear fuzzy intervals 

    Kolesárová, Anna (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
    Article
    Open Access
    The addition of fuzzy intervals based on a triangular norm $T$ is studied. It is shown that the addition based on a t-norm $T$ weaker than the Lukasiewicz t-norm $T_L$ acts on linear fuzzy intervals just as the $T_L$-based ...

  • The distribution of mathematical expectations of a randomized fuzzy variable 

    Kuz'min, V. B.; Travkin, S.I. (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
    Article
    Open Access
    The Shaffer's definition of the upper and lower expectations of fuzzy variables is considered with respect to randomized fuzzy sets. The notion of randomized fuzzy sets is introduced in order to evaluate fuzzy statistical ...

  • On Boolean modus ponens 

    Rudeanu, Sergiu (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
    Article
    Open Access
    An abstract form of modus ponens in a Boolean algebra was suggested in [1]. In this paper we use the general theory of Boolean equations (see e.g. [2]) to obtain a further generalization. For a similar research on Boolean ...

  • Vagueness and its representations: a unifying look 

    Wygralak, Maciej (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
    Article
    Open Access
    Using the notion of a vaguely defined object, we systematize and unify different existing approaches to vagueness and its mathematical representations, including fuzzy sets and derived concepts. Moreover, a new, approximative ...