| 扰动值模糊有限自动机及其语言* |
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| 引用本文： | 彭家寅. 扰动值模糊有限自动机及其语言*[J]. 模式识别与人工智能, 2016, 29(4): 298-312. DOI: 10.16451/j.cnki.issn1003-6059.201604002 |
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| 作者姓名： | 彭家寅 |
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| 作者单位： | 内江师范学院 数学与信息科学学院 内江641100 |
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| 基金项目： | 国家自然科学基金项目(No.11071178)、教育部数学与应用数学专业综合改革项目(No.ZG0464)、四川省科技厅重点科技项目(No.2006J13-035)、四川省教育厅数学与应用数学专业综合改革项目(No.01249)、四川省教育厅解析几何精品开放课程、内江师范学院2012年校级精品资源共享课、内江师范学院应用数学重点学科、内江师范学院卓越教师培养计划资助 |
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| 摘 要： | 引入扰动值模糊有限自动机及其语言的概念，讨论扰动值模糊有限自动机的状态转移函数的扩张问题，证明3类确定型扰动值模糊有限自动机、非确定型扰动值模糊有限自动机相互等价性，研究扰动值模糊有限自动机的语言关于正则运算的封闭性.
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| 关 键 词： | 扰动模糊集 扰动值模糊有限自动机 扰动模糊语言 正则运算 |
| 收稿时间： | 2015-08-18 |
Disturbing-Valued Fuzzy Finite-State Automata and Their Languages |
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| PENG Jiayin. Disturbing-Valued Fuzzy Finite-State Automata and Their Languages[J]. Pattern Recognition and Artificial Intelligence, 2016, 29(4): 298-312. DOI: 10.16451/j.cnki.issn1003-6059.201604002 |
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| Authors: | PENG Jiayin |
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| Affiliation: | School of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100 |
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| Abstract: | The concepts of disturbing-valued fuzzy finite-state automata and their languages are introduced. The extension of state transition function for disturbing-valued fuzzy finite-state automata is discussed. The non-deterministic disturbing-valued fuzzy finite-state automata and three kinds of deterministic disturbing-valued fuzzy finite-state automata are equivalent to each other. The closeness of the languages families of disturbing-valued fuzzy finite-state automata under regular operations are studied. |
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| Keywords: | Disturbing Fuzzy Set Disturbing-Valued Fuzzy Finite-State Automata Disturbing Fuzzy Language Regular Operation |
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