| 格值有限状态机的子系统 |
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| 引用本文： | 雷红轩. 格值有限状态机的子系统[J]. 渝西学院学报(自然科学版), 2010, 0(2): 10-13 |
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| 作者姓名： | 雷红轩 |
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| 作者单位： | 内江师范学院数学与信息科学学院;四川省高等学校数值仿真重点实验室; |
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| 基金项目： | 四川省教育厅重点科研项目(08ZA129) |
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| 摘 要： | 提出了格值有限状态机（简记为LFSM）状态后继、子机和子系统的概念，通过LFSM状态集的4种格值子集刻画了LFSM子系统的一系列性质和构成子系统的充分必要条件．最后，通过LFSMs同态的概念得到了子系统的像仍是子系统等结论．
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| 关 键 词： | 模糊自动机 子机 子系统 同态 |
Subsystem of Lattice-valued finite states machines |
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| LEI Hong-xuan. Subsystem of Lattice-valued finite states machines[J]. , 2010, 0(2): 10-13 |
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| Authors: | LEI Hong-xuan |
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| Affiliation: | LEI Hong-xuan1,2(1.School of Mathematics , Information Science,Neijiang Normal University,Neijiang Sichuan 641112,China,2.Key Laboratory of Numerical Simulation of Sichuan Province,China) |
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| Abstract: | The concept of successor of states,and submachine and subsystem of lattice-valued finite states machine(LFSM for short)are proposed.Some properties of subsystem of LFSM,and sufficiency and necessary condition of constructing subsystem are characterized from four kinds lattice-valued subset of states of LFSM.Finally,some conclusions of the image of subsystem being a subsystem are obtained in terms of the concept of homomorphism of LFSM. |
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| Keywords: | fuzzy automata submachine subsystem homomorphism |
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