Fuzzy Markov Decision Process Based On Structural Element Theory

The Markov process is an important part of the stochastic process,and fuzziness is a common uncertainty phenomenon in nature and social activities.Aiming at the complexity of ?-truncation calculation in the process of fuzzy Markov,the fuzzy structural element theory is used to model and solve the problem.For the unary fuzzy Markov process,the fuzzy Markov process definitions of all state fuzzy and partial state fuzzy are given,fuzzy structure element modeling and structural element weighted ordering optimization decision.According to the fuzzy case of transition probability,the Markov process definition is given,fuzzy structural element modeling and structural element weighted ordering optimization decision.According to the fuzzy state and transfer probability,the Markov process definition are given,structural element modeling and structural element weighted ordering optimization decision.The results of the case analysis show that the structural element modeling and optimization decision of the fuzzy Markov process are simple and effective,and the research results can provide theoretical and applied references for Markov decision making.For the multivariate fuzzy Markov process,the fuzzy multiple Markov model definition of transfer matrix fuzzy is given.The state transition frequency matrix of multiple sequences is obtained by using the state transition frequency of multiple sequences,and the state transition probability matrix of multiple sequences is obtained,which is expressed by fuzzy structural element.Using objective programming to solve the stationary Markov process,Matlab optimization calculation to get the optimal weight parameters of the transition probability matrix;Example analysis verifies the validity of the model.