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循环模糊有限状态机的半群和同态 被引量:3

Semigroups and Homomorphisms of Cyclic Fuzzy Finite State Machines
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摘要 定义了循环模糊有限状态机M=(Q,X,μ)输入字集X*上的右同余关系,讨论了其等价类做成的半群E(M)的性质,及以该半群的子集为状态集的循环模糊有限状态机M-与原循环模糊有限状态机M的同态关系,得出了在某些条件下,M-与M是强同构的。 For a cyclic fuzzy finite state machine M = (Q,X,p), a right congruence relation of X* is defined, the set of the equivalence classed E(M) is a semigroup, and the properties of E(M) are studied. Moreover, a cyclic fuzzy finite state machine M is defined, which state set is a subset of E(M), and M and M are strong isomorphic under certain conditions.
作者 黄飞丹
出处 《模糊系统与数学》 CSCD 北大核心 2013年第3期116-121,共6页 Fuzzy Systems and Mathematics
基金 贵州省科技厅 毕节市科技局 毕节学院科技联合基金资助项目(黔科合J字LKB[2012]10号) 贵州省科学技术基金资助项目(2012GZ10526)
关键词 循环模糊状态机 半群 同态 Cyclic Fuzzy under certain conditions. Finite State Machine Semigroup Homomorphism
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参考文献8

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共引文献3

同被引文献27

  • 1韩召伟,李永明.格值Mealy自动机的同余和同态[J].模糊系统与数学,2007,21(2):53-64. 被引量:10
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