| 模糊有限自动机的乘积覆盖性 |
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| 引用本文： | 陈乾,涂道兴,莫智文.模糊有限自动机的乘积覆盖性[J].模糊系统与数学,2011,25(2). |
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| 作者姓名： | 陈乾 涂道兴 莫智文 |
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| 作者单位： | 1. 西南石油大学,理学院,四川,成都,610500
2. 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 推广模糊有限自动机的有限积,包括direct infinite乘积、cascade infinite乘积和wreath infinite 来积.进而讨论它们之间的关系,得到乘积覆盖性等代数性质.
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| 关 键 词： | 模糊有限自动机 覆盖 Direct infinite乘积 Cascade infinite乘积 Wreath infinite乘积 |
Covering of Infinite Products of Fuzzy Finite Automata |
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| CHEN Qian,TU Dao-xing,MO Zhi-wen.Covering of Infinite Products of Fuzzy Finite Automata[J].Fuzzy Systems and Mathematics,2011,25(2). |
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| Authors: | CHEN Qian TU Dao-xing MO Zhi-wen |
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| Institution: | CHEN Qian1,TU Dao-xing1,MO Zhi-wen2(1.College of Sciences,Southwest Petroleum University,Chengdu,Sichuan 610500,China,2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,China) |
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| Abstract: | In this paper,we generalize the products with two and finitely many fuzzy finite automata to the products with infinitely many components.Direct infinite products,cascade infinite products,wreath infinite products of fuzzy finite automata are introduced.Moreover,their coverings and other algebraic properties are investigated. |
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| Keywords: | Fuzzy Finite Automata Covering Cascade Infinite Product Wreath Infinite Product |
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