12. A failure mode reasoning engine (FMRE), comprising: a processor; a network-communication interface; data storage, wherein a plurality of failure-mode-probability ranges, a plurality of evidence-probability ranges, and a plurality of corrective actions are stored in the data storage; and machine-language instructions stored in the data storage and executable by the processor to perform functions including: receiving at least one evidence notification via the network-communication interface, determining a plurality of evidentiary-failure-mode-probability rectangles (EFMPRs), based on the at least one evidence notification, wherein each EFMPR comprises a failure-mode probability range and an evidence-probability range, determining a candidate EFMPR of the plurality of EFMPRs, determining a confidence level of the candidate EFMPR based on an overlap area between the candidate EFMPR and other EFMPRs in the plurality of EFMPRs and an overlap threshold, associating a corrective action with the candidate EFMPR, based on the plurality of corrective actions and the determined confidence level, and sending the corrective action via the network-communication interface.
12. A failure mode reasoning engine (FMRE), comprising: a processor; a network-communication interface; data storage, wherein a plurality of failure-mode-probability ranges, a plurality of evidence-probability ranges, and a plurality of corrective actions are stored in the data storage; and machine-language instructions stored in the data storage and executable by the processor to perform functions including: receiving at least one evidence notification via the network-communication interface, determining a plurality of evidentiary-failure-mode-probability rectangles (EFMPRs), based on the at least one evidence notification, wherein each EFMPR comprises a failure-mode probability range and an evidence-probability range, determining a candidate EFMPR of the plurality of EFMPRs, determining a confidence level of the candidate EFMPR based on an overlap area between the candidate EFMPR and other EFMPRs in the plurality of EFMPRs and an overlap threshold, associating a corrective action with the candidate EFMPR, based on the plurality of corrective actions and the determined confidence level, and sending the corrective action via the network-communication interface. 17. The FMRE of claim 12 , wherein determining a confidence level comprises determining the confidence level by an arithmetical algorithm based on the overlap area of the candidate EFMPR.