Name
Abstract | ||
|---|---|---|
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 number-conserving rules of 3-state vector-valued fuzzy CA in a systematic way. |
Year | Venue | DocType |
|---|---|---|
2020 | J. Cell. Autom. | Journal |
Volume | Issue | Citations |
15 | 3 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nishida Yuki | 1 | 0 | 0.34 |
| Watanabe Sennosuke | 2 | 0 | 0.34 |
| Fukuda Akiko | 3 | 1 | 1.19 |
| Watanabe Yoshihide | 4 | 0 | 0.34 |