• Title of article

    Categories Isomorphic to the Category of $L$-fuzzy Closure System Spaces

  • Author/Authors

    Fu-Gui Shi، Fu-Gui Shi نويسنده Fu-Gui Shi, Fu-Gui Shi , Bin Pang، Bin Pang نويسنده School of Mathematics, Beijing Institute of Technology, 5 South Zhong guancun Street, Haidian District, 100081 Beijing, P.R. China Bin Pang, Bin Pang

  • Issue Information
    فصلنامه با شماره پیاپی 0 سال 2013
  • Pages
    20
  • From page
    127
  • To page
    146
  • Abstract
    In this paper, new definitions of $L$-fuzzy closure operator, $L$-fuzzy interior operator, $L$-fuzzy remote neighborhood system, $L$-fuzzy neighborhood system and $L$-fuzzy quasi-coincident neighborhood system are proposed. It is proved that the category of $L$-fuzzy closure spaces, the category of $L$-fuzzy interior spaces, the category of $L$-fuzzy remote neighborhood spaces, the category of $L$-fuzzy quasi-coincident neighborhood spaces, the category of $L$-fuzzy neighborhood spaces are all isomorphic to the category $L$-{\bf FCS} of $L$-fuzzy closure system spaces.
  • Journal title
    Iranian Journal of Fuzzy Systems (IJFS)
  • Serial Year
    2013
  • Journal title
    Iranian Journal of Fuzzy Systems (IJFS)
  • Record number

    986822