| 幺半环上几类模糊自动机的关系 |
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| 引用本文： | 汤恒琦,邓培民,易忠.幺半环上几类模糊自动机的关系[J].模糊系统与数学,2008,22(6). |
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| 作者姓名： | 汤恒琦 邓培民 易忠 |
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| 作者单位： | 广西师范大学,数学科学学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金资助项目
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广西自然科学基金资助项目
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广西研究生教育创新计划资助项目
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| 摘 要： | 给出了幺半环上非确定的模糊自动机和确定的模糊自动机及其语言的定义,证明了幺半环上三类非确定的模糊自动机间的等价性和三类确定的模糊自动机间的等价性,讨论了幺半环上三类非确定的模糊自动机和第四类非确定的模糊自动机之间的关系,以及幺半环上非确定的模糊自动机和确定的模糊自动机之间的关系.
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| 关 键 词： | 幺半环 自动机 R-语言 等价 |
The Relationships among Several Types of Fuzzy Automata over Unitary Semirings |
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| TANG Heng-qi,DENG Pei-min,YI Zhong.The Relationships among Several Types of Fuzzy Automata over Unitary Semirings[J].Fuzzy Systems and Mathematics,2008,22(6). |
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| Authors: | TANG Heng-qi DENG Pei-min YI Zhong |
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| Institution: | TANG Heng-qi,DENG Pei-min,YI Zhong (College of Mathematics Science,Guangxi Normal University,Guilin 541004,China) |
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| Abstract: | In this paper,the definitions of the four types of nondeterministic fuzzy automata and the four types of deterministic fuzzy automata over unitary semirings and their languages are given.The equivalence of the former three types of nondeterministic fuzzy automata and the former three types of deterministic fuzzy automata over unitary semirings are proved.The relationships between the fourth type of nondeterministic fuzzy automata over unitary semirings and the other former types nondeterministic fuzzy autom... |
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| Keywords: | Unitary Semirings Automata R-language Equivalence |
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