Application of New Algebras Extending Traditional Probability To Problems of DataFusion In Command, Control and Information Systems

摘要

This paper addresses the general problem of modeling data fusion in Command,Control Information Systems from a more unified probabilistic viewpoint with care toward problems of implementation. Three basic mathematical tools established recently by this principal investigator contribute to this goal. These include: random set representations of fuzzy sets and operators used to provide a probabilistic interpretation for the modeling and combining of linguistic-based or other vague information; conditional event algebra for developing consistent sample spaces underlying the modelling and combining of disparate conditional stochastic-based information with varying antecedents, and most recently, relational event algebra, greatly extending conditional event algebra for the algebraic-based treatment of complex probability relations. (AN).