• Title of article

    ON FUZZY QUOTIENT BCK-ALGEBRAS

  • Author/Authors

    SAIDI GORAGHANI, S Department of Mathematics - Farhangian University, Tarbiat-e-Moallem St - Shahid Farahzadi Blv - Qods, Iran

  • Pages
    10
  • From page
    59
  • To page
    68
  • Abstract
    In this paper, by considering the concept of fuzzy congruence in some algebraic structures, we specially study fuzzy congruence in BCK-algebras. We prove that there is a bijection between the set of fuzzy ideals and the set of fuzzy congruences in BCK-algebras. Then we show that for each fuzzy ideal µ, there is an associated algebra X/µ that is a BCK-algebra. Also, we obtain a congruence relation on a BCK-algebra by fuzzy ideals
  • Keywords
    BCK-algebra , Fuzzy ideal , Fuzzy congruence
  • Journal title
    Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Serial Year
    2020
  • Full Text URL
    jaem.isikun.edu.tr/web/images/articles/vol.10.no.1/06.pdf
  • Record number

    2587446

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2587446