Q-VFCA: q-state vector-valued fuzzy cellular Automata

Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda, Yoshihide Watanabe

研究成果: Article査読

1 被引用数 (Scopus)


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.

ジャーナルJournal of Cellular Automata
出版ステータスPublished - 2020

ASJC Scopus subject areas

  • 制御およびシステム工学
  • コンピュータ サイエンス(全般)


「Q-VFCA: q-state vector-valued fuzzy cellular Automata」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。