• DocumentCode
    3647766
  • Title

    Fuzzy equational classes

  • Author

    Branka Budimirović;Vjekoslav Budimirović;Branimir Šešelja;Andreja Tepavčević

  • Author_Institution
    Megatrend University, 11000 Belgrade, Serbia
  • fYear
    2012
  • fDate
    6/1/2012 12:00:00 AM
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    The paper deals with fuzzy equational classes. These are defined as classes of particular fuzzy algebras refering to a fuzzy equality (which replaces the crisp one), closed with respect to fuzzy identities. In this fuzzy framework we introduce basic notions of universal algebra, (fuzzy) subalgebras, homomorphisms and direct products. Our main result is that every fuzzy equational class is closed under these three constructions, hence forming a fuzzy variety.
  • Keywords
    "Lattices","Fuzzy sets","Educational institutions","Electronic mail","Structural rings","Computational intelligence"
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on
  • ISSN
    1098-7584
  • Print_ISBN
    978-1-4673-1507-4
  • Type

    conf

  • DOI
    10.1109/FUZZ-IEEE.2012.6251259
  • Filename
    6251259
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3647766