“…To deal with such complex problem, Li and Liu [3] have introduced a more flexible uncertain theory, called chance theory, which is a hybrid of probability and credibility. Also, recently, Kageyama et al [1] have given a method of constructing a Markov-type hybrid process from stochastic kernel and credibilistic kernel. Imagining the much wider applications of hybrid processes in the near future, it is meaningful to consider the case where the behavior of hybrid processes given in Kageyama et al [1] may be influenced by a suitable choice of decisions or actions.…”