Abstract
Profust reliability theory is based on the probability assumption and the fuzzy-state assumption. In an attempt to provide a uniform foundation for profust reliability theory, in this paper we introduce the concept of coherent systems and distinguish two classes of systems: closely coherent systems and loosely coherent systems. To formulate the relationships between system reliabilities and component reliabilities, we present a number of general results, results concerning convexity, and results concerning unimodality. It is argued that for a coherent system, component reliability improvements don’t certainly enhance the system reliability.
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Cai, KY., Wen, CY., Zhang, ML. (1995). Coherent Systems in Profust Reliability Theory. In: Onisawa, T., Kacprzyk, J. (eds) Reliability and Safety Analyses under Fuzziness. Studies in Fuzziness, vol 4. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1898-7_5
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DOI: https://doi.org/10.1007/978-3-7908-1898-7_5
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-662-12913-5
Online ISBN: 978-3-7908-1898-7
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