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I-homomorphism for BL-I-General L-fuzzy Automata | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 1، دوره 7، شماره 2، دی 2018، صفحه 57-77 اصل مقاله (311.99 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2018.12475.1067 | ||
| نویسندگان | ||
| Marzieh Shamsizadeh* 1؛ Mohammad Mehdi Zahedi2؛ Khadijeh Abolpour3 | ||
| 1Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran | ||
| 2Department of Mathematics Graduate University of Advanced Technology, Kerman, Iran | ||
| 3Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| BL-general fuzzy automata؛ BL-intuitionistic general L-fuzzy automata؛ Bisimulation؛ Quotient automata؛ Minimal BL-general fuzzy automata | ||
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