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.
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