• Title of article

    Dynamic equivalence relation on the fuzzy measure algebras

  • Author/Authors

    Ghasemkhani ، Roya - University of Jiroft , Mohammadi ، Uosef - University of Jiroft

  • Pages
    10
  • From page
    19
  • To page
    28
  • Abstract
    The main goal of the present paper is to extend classi- cal results from the measure theory and dynamical systems to the fuzzy subset setting. In this paper, the notion of dynamic equiva- lence relation is introduced and then it is proved that this relation is an equivalence relation. Also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is complete.
  • Keywords
    Fuzzy measure algebra , Dynamical system , Equivalence relation , Uniformly continuous
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Serial Year
    2017
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Record number

    2454816