The Role of Conditional Event Algebra in the Modeling of C3 Systems
I. R. Goodman · Defense Technical Information Center (DTIC) · 1992
This paper highlights the newly-emerging discipline of conditional event algebra, showing how this area can be of use in combining conditional evidence in a command control communications setting, compatible with all possible conditional probability evaluations. Typically, such information arises from many different sources and has widely varying antecedents. Recent breakthroughs are underscored, including: (1) derivation of a number of new properties pointing to a particular conditional event algebra (GNW) as being one of the leading candidates of choice; (2) full development of non-boolean operators acting upon conditional events, including cartesian products and inverse functions, resulting in a fully-developed model of joint conditional rand variables. In addition, a recent uniqueness of representation of fuzzy sets by random sets is shown for both the unconditional and conditional cases. Finally, a previously introduced diagonalization technique for combining different stochastic information is further extended and justified, showing how multi-source linguistic-based and stochastic, conditional and unconditional, information can be combined.