Strong Admissible Reduction of Hesitant L-Fuzzy Automaton
نویسندگان
1 Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran
2 Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran
3 [Automata, Fuzzy automata] Department of Mathematics, Kerman Graduate University of Advanced Technology.
doi
10.22111/ijfs.2024.47795.8405چکیده
In this article, after the definitions of the reduced hesitant L-fuzzy automaton (RHLFA) and the minimal hesitant L-fuzzy automaton; we convert a hesitant L-fuzzy automaton (HLFA) to an RHLFA by reducing the number of its states such that its language is equal to the original HLFA language. Then, by defining an equivalence relation on the monoid X*,we construct an HLFA whose language is equal to the language of the transformed RHLFA, and we show that this HLFA is minimal. In conclusion, we delineate the criteria under which, the number of states in the minimal HLFA is equal to the number of states in the RHLFA
