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A Possibilistic Uncertainty Model in Classical Reliability Theory

In this paper, it is argued that a possibilistic uncertainty model can be used to represent linguistic uncertainty about the states of a system and of its components. Furthermore, the basic properties of the application of this model to classical reliability theory are studied. The notion of the possibilistic reliability of a system or a component is deened. Based upon the concept of a binary structure function, the important notion of a possibilistic structure function is introduced. It allows us to calculate the possibilistic reliability of a system in terms of the possibilistic reliabilities of its components.