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Fuzzy diagnostic reasoning that takes into account the uncertainty of the relation between faults and symptoms

Jan Kościelny;  Michał Syfert — 2006

International Journal of Applied Mathematics and Computer Science

Knowledge about the relation between faults and the observed symptoms is necessary for fault isolation. Such a relation can be expressed in various forms, including binary diagnostic matrices or information systems. The paper presents the use of fuzzy logic for diagnostic reasoning. This method enables us to take into account various kinds of uncertainties connected with diagnostic reasoning, including the uncertainty of the faults-symptoms relation. The presented methods allow us to determine the...

Fault isolability with different forms of the faults-symptoms relation

Jan Maciej Kościelny;  Michał Syfert;  Kornel Rostek;  Anna Sztyber — 2016

International Journal of Applied Mathematics and Computer Science

The definitions and conditions for fault isolability of single faults for various forms of the diagnostic relation are reviewed. Fault isolability and unisolability on the basis of a binary diagnostic matrix are analyzed. Definitions for conditional and unconditional isolability and unisolability on the basis of a fault information system (FIS), symptom sequences and directional residuals are formulated. General definitions for conditional and unconditional isolability and unisolability in the cases...

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