p-Adic valued fuzzyness and experiments with physarum polycephalum

The slime mould is considered a natural fuzzy processor with fuzzy values on the set of p-adic integers. The point is that in any experiment with the slime mould we deal with attractants which can be placed differently to obtain different topologies and to induce different transitions of the slime mould. If the set Ω of attractants, involved into the experiment, has the cardinality number p-1, then any subset of Ω can be regarded as a condition for the experiment such as “Attractants occupied by the plasmodium”. These conditions change during the time, t = 0, 1,2, ..., and for the infinite time, we obtain p-adic integers as values of fuzzy (probability) measures defined on conditions (properties) of the experiment. This space is a semantics for p-adic valued fuzzy syllogistic we constructed for describing the propagation of the slime mould.