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New Results In The Theory and Applications of Relational Event Algebra to theCombination of Evidence Problem

机译：关系事件代数理论与应用于证据问题组合的新成果

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Relational event algebra is a new mathematical tool which furnishes analgebraic/logical underpinning for numerically-based functions of probabilities. The basic generic application of this algebra is to data fusion via the explicit derivation of probabilities of logical combinations of events representing such functions of probabilities from multiple subjective or expert sources. This work depends on, and extends to a much more general setting, previous foundations laid for the basis of 'conditional event' algebra, whereby the functions of probabilities are restricted to certain arithmetic divisions of probabilities, i.e., to conditional probabilities. It has been demonstrated that there are two key concepts involved in a successful theoretical basis for relational event algebra: (1) the construction of 'constant-probability' events and (2) the representation of linear combinations of probabilities of possibly overlapping events by equivalent linear combinations of probabilities of disjoint events. Only recently the last-mentioned problem has been solved and one of the thrusts of this paper is to document the impact of this result.

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