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On minimal realization of IF-languages: A categorical approach | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 13، شماره 3، شهریور 2016، صفحه 19-34 اصل مقاله (326.62 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2427 | ||
| نویسندگان | ||
| Vijay K. Yadav* 1؛ Vinay Gautam2؛ S. P. Tiwari2 | ||
| 1Department of Mathematics, National Institute of Technology, Jamshedpur-831014, Jharkhand, India | ||
| 2Department of Applied Mathematics, Indian School of Mines, Dhanbad- 826004, Jharkhand, India | ||
| چکیده | ||
| he purpose of this work is to introduce and study the concept of minimal deterministic automaton with IF-outputs which realizes the given IF-language. Among two methods for construction of such automaton presented here, one is based on Myhill-Nerode's theory while the other is based on derivatives of the given IF-language. Meanwhile, the categories of deterministic automata with IF-outputs and IF-languages alongwith a functorial relationship between them are introduced | ||
| کلیدواژهها | ||
| eterministic automaton؛ IF-output؛ IF-language؛ Minimal realization | ||
| مراجع | ||
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