### 抜粋

Elementary fuzzy Cellular Automata (CA) are known as continuous counterpart of elementary CA, which are 2-state CA, via the polynomial representation of local rules. In this paper, we first develop a new fuzzification methodology for q-state CA. It is based on the vector representation of q-state CA, that is, the q-states are assigned to the standard basis vectors of the q-dimensional real space and the local rule can be expressed by a tuple of q polynomials. Then, the q-state vector-valued fuzzy CA are defined by expanding the set of the states to the convex hull of the standard basis vectors in the q-dimensional real space. The vector representation of states enables us to enumerate the numberconserving rules of 3-state vector-valued fuzzy CA in a systematic way.

元の言語 | English |
---|---|

ページ（範囲） | 207-222 |

ページ数 | 16 |

ジャーナル | Journal of Cellular Automata |

巻 | 15 |

発行部数 | 3 |

出版物ステータス | Published - 2020 |

### ASJC Scopus subject areas

- Control and Systems Engineering
- Computer Science(all)

## フィンガープリント Q-VFCA: q-state vector-valued fuzzy cellular Automata' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Journal of Cellular Automata*,

*15*(3), 207-222.