Taking into account the notion of BL-general fuzzy automaton, in the present study we define the notation of BL-intuitionistic general L-fuzzy automaton and I-bisimulation for BL-intuitionistic general L-fuzzy automaton. Then for a given BL-intuitionistic general L-fuzzy automaton, we obtain the greatest I-bisimulation. According to this notion, we give the structure of quotient BL-intuitionistic general L-fuzzy automaton. Fortunately, this quotient is the minimal BL-intuitionistic general L-fuzzy automaton. In addition, in this study, we show that if there is an I-bisimulation between two BL-intuitionistic general L-fuzzy automata, then they have the same behavior. Furthermore, we give an algorithm which determines the I-bisimulation between any two BL-intuitionistic general L-fuzzy automata. To clarify the notions and the results obtained in this paper, we have submitted some examples as well.
Shamsizadeh,M , Zahedi,M M and Abolpour,K . (2018). I-homomorphism for BL-I-General L-fuzzy Automata. Journal of Mahani Mathematical Research, 7(2), 57-77. doi: 10.22103/jmmrc.2018.12475.1067
MLA
Shamsizadeh,M , , Zahedi,M M , and Abolpour,K . "I-homomorphism for BL-I-General L-fuzzy Automata", Journal of Mahani Mathematical Research, 7, 2, 2018, 57-77. doi: 10.22103/jmmrc.2018.12475.1067
HARVARD
Shamsizadeh M, Zahedi M M, Abolpour K. (2018). 'I-homomorphism for BL-I-General L-fuzzy Automata', Journal of Mahani Mathematical Research, 7(2), pp. 57-77. doi: 10.22103/jmmrc.2018.12475.1067
CHICAGO
M Shamsizadeh, M M Zahedi and K Abolpour, "I-homomorphism for BL-I-General L-fuzzy Automata," Journal of Mahani Mathematical Research, 7 2 (2018): 57-77, doi: 10.22103/jmmrc.2018.12475.1067
VANCOUVER
Shamsizadeh M, Zahedi M M, Abolpour K. I-homomorphism for BL-I-General L-fuzzy Automata. J. Mahani Math. Res.. 2018;7(2):57-77. doi: 10.22103/jmmrc.2018.12475.1067