A Rough Set Version of the Go Game on Physarum Machines

Abstract

We make use of a Physarum machine that is a biological computing device implemented in the plasmodium of Physarum polycephalum and/or Badhamia utricularis which are one-cell organisms able to build complex networks for solving different computational tasks. The plasmodium behavior can model an ancient Chinese game called Go. In the paper, we describe implementation of the Go game on the Physarum machines. A special version of the game is presented, where payoffs are assessed by means of the measure defined on the basis of rough set theory. Theoretical foundations given in the paper are supplemented with description of a specialized software tool developed, among others, for simulation of the described game.