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BL-general fuzzy automata and minimal realization: Based on the associated categories | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 12، دوره 17، شماره 1، فروردین و اردیبهشت 2020، صفحه 155-169 اصل مقاله (322.41 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5117 | ||
| نویسندگان | ||
| Kh. Abolpour* 1؛ M. M. Zahedi2؛ M. Shamsizadeh2 | ||
| 1Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran | ||
| 2Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Component؛ BL-general fuzzy automata؛ fuzzy behavior؛ category؛ functor؛ realization؛ reachability؛ observability | ||
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آمار تعداد مشاهده مقاله: 719 تعداد دریافت فایل اصل مقاله: 499 |
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