دانلود مقاله : 

Markov-type fuzzy decision processes with a discounted reward on a closed interval

نویسنده : 

Masami Kurano , Masami Yasuda , Jun-ichi Nakagami , Yuji Yoshida

We formulate a new multi-stage decision process with Markov-type fuzzy transition, which is termed Markov-type fuzzy

decision process. In the general framework of the decision process, both of state and action are assumed to be fuzzy itself.

The transition of states is defined using the fuzzy relation with Markov property and the discounted total reward is described

as a fuzzy number on a closed bounded interval. To discuss the optimization problem, a partial order of convex fuzzy

numbers is introduced. In this paper the discounted total reward associated with an admissible stationary policy is

characterized by a unique fixed point of the contractive mapping. Moreover, the optimality equation for the fuzzy decision

model is derived under some continuity conditions. Also, an illustrated example is given to explain the theoretical results and

the computation in the paper.

دانلود - 1000 تومان