Fuzzy Markovian decision processes: Application to queueing systems

In this paper, we calculate the best policy to be implemented regarding publicity decisions in a queueing system by using Markovian decision processes with fuzzy states. To this end, first we have defined the theory linking Markov chains with non-fuzzy states with Markov chains with fuzzy states, and we have calculated the Markov chain probabilities with fuzzy states using the conditional probability of the fuzzy event Ãj given the fuzzy event Ãi. Next, we illustrate by an example the theoretical results previously obtained. In the example, we apply the linear programming solution to the Markovian decision processes.