Fuzzy Reliability Analysis For Discrete Time Multi-state Systems

A multi-state system is a kind of complex system with wide application.As the system gradually show the trend of large style,complication,and motor development,it is become particularly important for multi-state system reliability modeling and analysis.The system is widely exists in social life,such as the large power station,the communication network,the railway transport,the mechanical equipment,the artificial intelligence and all kinds of large public facilities and so on.In recent years,the fuzzy reliability analysis for continuous time multi-state system in modeling research has made large progress.However,it is not yet perfect to construct fuzzy reliability analysis for discrete time multi-state system.The purpose of this dissertation is to do further research on the discrete time multi-state systems.Firstly,this paper investigates the fuzzy dynamic reliability analysis for the discrete time multi-state non-repairable system based on the fuzzy Lz-transform.By analyzing fuzzy Markov model of the multi-state non-repairable component,using the method of fuzzy Lz-transform is put forward,in combination with the fuzzy expansion principle and parameters programming technology,the fuzzy dynamic state probabilities and the fuzzy dynamic reliability have been obtained for the multi-state non-repairable system.Secondly,this paper studies fuzzy dynamic reliability analysis for the discrete time repairable multi-state system which has only two-state components.The fuzzy Markov model is put forward based on the fuzzy discrete time repairable component with two performance state.The fuzzy dynamic state probabilities of the discrete time component with two-state are analyzed.Using the fuzzy universal generation function,the fuzzy state probabilities,the fuzzy performance levels of the system are assessed.The fuzzy dynamic availability of the system is obtained based on the given fuzzy consumer demand levels.Finally,this paper investigates fuzzy dynamic reliability analysis for the discrete time repairable multi-state system which has multi-state components.The fuzzy Markov model is put forward based on the discrete time fuzzy repairable component with multi-state performance.The fuzzy dynamic state probabilities of the discrete time multi-state component are analyzed.Using the fuzzy Lz-transform,the fuzzy state probabilities,the fuzzy performance levels of the system are assessed.The fuzzy dynamic availability of the system is obtained based on the given fuzzy consumer demand levels.