On the recognizability of Fuzzy languages I

被引:26
|
作者
Bozapalidis, Symeon [1 ]
Louscou-Bozapalidou, Olympia
机构
[1] Aristotle Univ Thessaloniki, Dept Math, Thessaloniki 54124, Greece
[2] Tech Inst W Macedonia, Sect Math & Informat, Koila, Kozani, Greece
关键词
fuzzy automata; language derivatives; pumping lemma;
D O I
10.1016/j.fss.2006.04.008
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Fuzzy language recognizability via finite monoids (called m-recognizability) is examined. Fuzzy languages computed by (max, min)-automata, (max, Delta(L))-automata and (max, Delta(D))-automata are m-recognizable (Delta(L), Delta(D) are the Lucasiewicz intersection and the drastic intersection, respectively). The syntactic monoid associated to each m-recognizable language can be effectively constructed. Thus, the equality of two m-recognizable fuzzy languages is decidable. A pumping lemma is displayed. (C) 2006 Elsevier B.V. All rights reserved.
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页码:2394 / 2402
页数:9
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