ABSTRACT
This chapter addresses two major issues pertaining to the stimulus-oriented theory and the observer-oriented theory respectively. It shows how generalized invariance structure theory model (GIST) can be reconceptualized as a traditional process account in the sense that the generalized context model (GCM) and ALCOVE are process accounts. The chapter introduces an alternative way of transforming the categorical invariance model (CIM) into a model that works on semi-continuous domains by representing categorical stimuli in terms of a quasi-Boolean functional representation on such domains. The mathematical framework on which CIM is based is highly flexible, and depends entirely and independently on the appropriate disjunctive normal form (DNF) representation of the categorical stimulus using the appropriate multivalued logic. The chapter begins by giving a brief explanation of the multiplicative prototype model (MPM). It shows a simple and straightforward way of generalizing the author's CIM to semi-continuous domains which is described by continuous DNF descriptions.
