| 格值有限状态自动机的子机和强子系统 |
| |
| 引用本文： | 雷红轩,吕晓亚.格值有限状态自动机的子机和强子系统[J].内江师范学院学报,2010,25(4):26-29. |
| |
| 作者姓名： | 雷红轩 吕晓亚 |
| |
| 作者单位： | 1. 内江师范学院数学与信息科学学院,四川,内江,641100;四川省高等学校数值仿真重点实验室,四川,内江,641100
2. 内江师范学院数学与信息科学学院,四川,内江,641100 |
| |
| 基金项目： | 四川省教育厅重点科研项目(08ZA129) |
| |
| 摘 要： | 在格值有限状态自动机（简称为LFSA）理论的基础上，给出了LFSA状态后继、LFSA子机、子系统和强子系统的概念，通过后继、可分离性等概念刻画了子机、子系统和强子系统的性质，讨论了构成强子系统的充分必要条件，以及子机和强子系统的相互刻画．最后，通过LFSAs同态的概念得到了强子系统的象仍是强子系统等结论．
|
| 关 键 词： | 模糊自动机 子机 强子系统 同态 |
Subautomata and Strong Subsystem of Lattice-valued Finite States Automata |
| |
| LEI Hong-xuan,Lü Xiao-ya.Subautomata and Strong Subsystem of Lattice-valued Finite States Automata[J].Journal of Neijiang Teachers College,2010,25(4):26-29. |
| |
| Authors: | LEI Hong-xuan Lü Xiao-ya |
| |
| Institution: | 1.College of Mathematics and Information Science/a>;Neijiang Normal University/a>;Neijiang/a>;Sichuan 641100/a>;China/a>;2.Key Laboratory of Numerical Simulation of Sichuan Province/a>;China |
| |
| Abstract: | On the basis of the theory of lattice-ordered finite states automata(LFSA for short),concepts like successor of states,subautomata,subsystem and strong subsystem of LFSA are put forth.Some properties of subautomata and subsystem and strong subsystem of LFSA are charactered through concepts of successor and separability,necessary and sufficient conditions of constructing a strong subsystem are discussed in particular,and the mutual depiction between a subautomata and a strong subsystem is also examined.Final... |
| |
| Keywords: | fuzzy automata subautomata strong subsystem homomorphism |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
