2001, Vol. VIII, Núm. 1

Summary

  • On the generalizations of Siegel's fixed point theorem 

    Jung, J.S.; Chang, S.S.; Lee, B.S.; Cho, Y.J; Kang, S.M. (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2001)
    Article
    Open Access
    In this paper, we establish a new version of Siegel's fixed point theorem in generating spaces of quasi-metric family. As consequences, we obtain general versions of the Downing-Kirk's fixed point and Caristi's fixed ...

  • Application of Cauchy's equation in combinatorics and genetics 

    Kannappan, Palaniappan (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2001)
    Article
    Open Access
    We are familiar with the combinatorial formula $\left(\begin{array}{cc} n\\ r \end{array}\right) = \frac{n(n-1) \cdots (n - r + 1)}{r !} = $ number of possible ways of choosing $r$ objects out of $n$ objects\,. In ...

  • Topological automorphism groups of chains 

    Ovchinnikov, Sergei V. (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2001)
    Article
    Open Access
    It is shown that any set--open topology on the automorphism group $A(X)$ of a chain $X$ coincides with the pointwise topology and that $A(X)$ is a topological group with respect to this topology. Topological properties of ...

  • A theorem for basis operators over intuitionistic fuzzy sets 

    Atanassov, Krassimir T. (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2001)
    Article
    Open Access
    The concept of s-basis operators over intuitionistic fuzzy sets is introduced and all 2-, 2-, 4-, basis operators are listed.

  • On four intuitionistic fuzzy topological operators 

    Atanassov, Krassimir T. (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2001)
    Article
    Open Access
    Four new operators, which are analogous of the topological operators "interior" and "closure", are defined. Some of their basic properties are studied. Their geometrical interpretations are given.

  • Generation of fuzzy mathematical morphologies 

    Burillo López, Pedro; Frago Paños, Noé; Fuentes-González, Ramón (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2001)
    Article
    Open Access
    Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce a ...