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扰动值模糊有限自动机及其语言 被引量:5

Disturbing-Valued Fuzzy Finite-State Automata and Their Languages
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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. 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 families of disturbing-valued fuzzy finite-state automata under regular operations are studied. languages
作者 彭家寅
出处 《模式识别与人工智能》 EI CSCD 北大核心 2016年第4期298-312,共15页 Pattern Recognition and Artificial Intelligence
基金 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~~
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 Disturbing Fuzzy Set, Disturbing-Valued Fuzzy Finite-State Automata, Disturbing FuzzyLanguage, Regular Operation
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