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TOPOLOGICAL CHARACTERIZATION FOR FUZZY REGULAR LANGUAGES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 15، شماره 4، مهر و آبان 2018، صفحه 43-56 اصل مقاله (377.51 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2018.4114 | ||
| نویسندگان | ||
Yongbing Wang  1؛ Yongming Li2
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| 1College of Computer Science, Shaanxi Normal University, Xi'an 710062, P.R. China and College of Mathematics and Computation, Anqing Normal University, Anqing 246013, P.R. China | ||
| 2College of Computer Science, Shaanxi Normal University, Xi'an 710062, P.R. China | ||
| چکیده | ||
| We present a topological characterization for fuzzy regular languages: we show that there is a bijective correspondence between fuzzy regular languages and the set of all clopen fuzzy subsets with finite image in the induced fuzzy topological space of Stone space (Profinite space), and then we give a representation of closed fuzzy subsets in the induced fuzzy topological space via fuzzy regular languages. Moreover, we prove that the induced fuzzy topological space has a basis consisting of leveled characteristic functions of the closure of cut languages of fuzzy regular languages. | ||
| کلیدواژه‌ها | ||
| Fuzzy finite automata؛ Fuzzy regular languages؛ Profinite topological space؛ Fuzzy topological space؛ Clopen subsets | ||
| مراجع | ||
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