Social Science Plaza, University of California, Irvine, CA 92697-5100, USA
Abstract:
This open problem urges a seach for a nice “union” of algbraic measurement models having two or more operations and probabilistic choice models. The difficulty lies in arriving at probabilistic formulations of linking properties, such as distribution properties, between the two operations. The goal is a formulation that leads to a representation theorem in terms of a random variable representation and that reduces to a known algebraic representation when there is no noise.