Fuzzy variables as a basis for a theory of fuzzy reliability in the possibility context
Fuzzy Sets and Systems
The Further Study of Safety Stock under Uncertain Environment
Fuzzy Optimization and Decision Making
Existence and uniqueness theorem for uncertain differential equations
Fuzzy Optimization and Decision Making
Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty
Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty
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Traditional reliability metrics are based on probability measures. However, in engineering practices, failure data are often so scarce that traditional metrics cannot be obtained. Furthermore, in many applications, premises of applying these metrics are violated frequently. Thus, this paper will give some new reliability metrics which can evaluate products' reliability with few failure data. Firstly, the new metrics are defined based on uncertainty theory and then, numerical evaluation methods for them are presented. Furthermore, a numerical algorithm based on the fault tree is developed in order to evaluate systems' reliability in the context of defined metrics. Finally, the proposed metrics and evaluation methods are illustrated with some case studies.