• Title of article

    BL-general fuzzy automata and minimal realization: Based on the associated categories

  • Author/Authors

    Abolpour, Kh. Department of Mathematics - Shiraz Branch, Islamic Azad University, Shiraz, Iran , Zahedi, M. M. Department of Mathematics - Graduate University of Advanced Technology, Kerman, Iran , Shamsizadeh, M. Department of Mathematics - Graduate University of Advanced Technology, Kerman, Iran

  • Pages
    15
  • From page
    155
  • To page
    169
  • Abstract
    The present paper is an attempt to study the minimal BL-general fuzzy automata which realizes the given fuzzy behavior. Of two methods applied for construction of such automaton presented here, one has been based on Myhill- Nerode’s theory while the other has been based on derivatives of the given fuzzy behavior. Meanwhile, the categories of BL-general fuzzy automata and fuzzy behavior, along with a functorial relationship between them, are introduced.
  • Keywords
    Component , BL-general fuzzy automata , fuzzy behavior , category , functor , realization , reachability , observability.
  • Journal title
    Iranian Journal of Fuzzy Systems (IJFS)
  • Serial Year
    2020
  • Record number

    2526325