Fuzzy optimality relation for perceptive MDPs—the average case

In this paper, the fuzzy perceptive model for average reward Markov decision processes is defined and a method of computing the corresponding fuzzy perceptive values is proposed. Under the minorization condition for fuzzy perceptive transition matrices, it is characterized by the optimal average expected reward, called the average perceptive value, using a fuzzy optimality relation. Also, we give a simple numerical example.