Aircraft icing safety analysis method in presence of fuzzy inputs and fuzzy state

For lack of safety measure under the widely existing fuzzy inputs and fuzzy state in the aircraft icing process, a safety analysis model is established to quantify the safety degree of aircraft icing under the fuzzy inputs and fuzzy state. Three-fold contribution is included in the established model. Firstly, by analyzing the recognition capability and properties, the failure credibility model possessing wide recognition capability and self-duality property is selected to measure the safety degree under the fuzzy inputs and binary state. Secondly, by a strictly mathematical derivation, an easily extended definition of the failure probability under random inputs and fuzzy state is proved, on which the failure credibility model under the fuzzy inputs and fuzzy state is established finally. After a numerical example is used to illustrate the feasibility of the established failure credibility model under the fuzzy inputs and fuzzy state in view of different perspectives, a real application of the established model is completed for the safety analysis of an aircraft icing problem.