Elsevier

Fuzzy Sets and Systems

Volume 158, Issue 17, 1 September 2007, Pages 1905-1912
Fuzzy Sets and Systems

Fuzzy optimality relation for perceptive MDPs—the average case

https://doi.org/10.1016/j.fss.2007.04.006Get rights and content

Abstract

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.

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Cited by (1)

  • Credibilistic Markov decision processes: The average case

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    Kurano et al. [8,9] have described the ambiguous information for the unknown transition probability matrices by fuzzy sets and developed the theory of Pareto-optimization based on Zadeh’s extension principle [2,19].

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