Abstract
Binary structure function theory has been developed to model the reliability aspects of both physical and nonphysical systems. Each component and system assumes either one of two possible states, failure or work, and the notion reliability has been defined in a probabilistic way. There are, however, some important deficiencies that cannot be overcome without extending the state space of both components and systems and, hence, allowing more than two possible states. Although many authors developed and described several models that extend the binary model, some fundamental notions like state and state space are almost never discussed or described. In this paper, however, we introduce some new ideas about the notion state in reliability theory and we construct a general framework to describe the reliability aspects of multistate systems and their components.
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Cappelle, B. (1995). On the Notion State in Multistate Structure Function Theory. In: Ruan, D. (eds) Fuzzy Set Theory and Advanced Mathematical Applications. International Series in Intelligent Technologies, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2357-4_8
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DOI: https://doi.org/10.1007/978-1-4615-2357-4_8
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