Fuzzy optimality relation for perceptive MDPs - the average case

This paper is a sequel to Kurano et al [9], [10], in which the fuzzy perceptive models for optimal stopping or discounted Markov decision process is given. We proposed a method of computing the corresponding fuzzy perceptive values. Here, we deal with the average case for Markov decision processes with fuzzy perceptive transition matrices and characterize the optimal average expected reward, called the average perceptive value, by a fuzzy optimality relation. Also, we give a numerical example.