1994, Vol. I, Núm. 1

 

Summary

  • Fuzzy numbers, definitions and properties 

    Delgado Calvo-Flores, Miguel; Verdegay, José Luis; Vila Miranda, María Amparo (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
    Article
    Open Access
    Two different definitions of a Fuzzy number may be found in the literature. Both fulfill Goguen's Fuzzification Principle but are different in nature because of their different starting points. The first one was introduced ...

  • An analysis of MYCIN-like expert systems 

    Hajek, Petr; Valdés Ramos, Julio José (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
    Article
    Open Access
    The paper is a review of our theoretical analysis of uncertainty processing in a broad class of truth-functional expert systems similar to MYCIN and PROSPECTOR, main attention being paid to parallel combination of rules. ...

  • Lukasiewicz logic based Prolog 

    Klawonn, Frank; Kruse, Rudolf (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
    Article
    Open Access
    Prolog is a programming language based on a restricted subset of classical first order predicate logic. In order to overcome some problems of classical logic to handle imperfect human knowledge, we provide a formal framework ...

  • Overtaker binary relations on complete completely distributive lattices related to the level sets of the L-fuzzy Sets 

    Nuñez, A.; Burillo López, Pedro; Fuentes-González, Ramón; González Sotos, León (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
    Article
    Open Access
    The class of overtaker binary relations associated with the order in a lattice is defined and used to generalize the representations of L-fuzzy sets by means of level sets or fuzzy points.

  • 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 ...

  • Sugeno's negations and t-norms 

    Mayor Forteza, Gaspar (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
    Article
    Open Access
    A functional characterization of Sugeno's negations is presented and as a consequence, we study a family of non strict Archimedean t-norms whose (vertical-horizontal) sections are straight lines.

  • Editorial [ Editor-in-chief presentation] 

    Jacas Moral, Juan (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
    Review
    Open Access