Canonical Representations of Chain Events

摘要

So far studies of canonical representations for regular events have essentially been restricted to definite events. In this paper two additional classes of events, namely normal and uniform chain events, are introduced for which unique canonical representations are shown to exist. Most of the algebraic properties of regular events required in this study are derived from a rather general system of postulates which also applies e.g. to binary relations, Boolean matrices and their generalizations. (Author)