Precisely assessing risk associated with critical and complex engineering systems operating in an environment with high amount of uncertainty is extremely difficult. Taking proper decisions to reduce risk level depends on how accurately the risks associated with the system are assessed. Risk assessment and safety modelling of complex systems were studied using various tools such as crisp sets, Bayesian belief network, fuzzy sets, classical logic and fuzzy logic. Neutrosophic set which is an extension of fuzzy set represents the real world better than fuzzy set due to the inclusion of the hesitancy component in the set. This research focuses on developing a neutrosophic logic–based model employing neutrosophic IF-THEN rules using linear trapezoidal neutrosophic number and analytical hierarchy process for qualitative and subjective analysis of human knowledge. The model is validated using an illustrative example for safety analysis of marine system.

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This paper presents the dynamic reliability evaluation of the deteriorating system using the concept of probist reliability as a fuzzy number. Triangular fuzzy number (TFN) has been used to represent the reliabilities. Initial reliability is determined using the expert's judgment and probabilistic improvement factor is considered to indicate the maintenance effectiveness of 1P maintenance activity. Deteriorating system is represented by PAR model and fuzzy dynamic reliability estimation procedure is demonstrated with appropriate illustration. Using this fuzzy dynamic reliability, fuzzy hazard rate is computed.

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