%A Professor Ronaldo Vigo
%J Information Sciences
%T Representational information: a new general notion and measure
of information
%X In what follows, we introduce the notion of representational information (information conveyed by sets of dimensionally de?ned objects about their superset of origin) as well as an
original deterministic mathematical framework for its analysis and measurement. The framework, based in part on categorical invariance theory [Vigo, 2009], uni?es three key constructsof universal science ? invariance, complexity, and information. From this uni?cation we de?ne the amount of information that a well-de?ned set of objects R carries about its ?nite superset of origin S, as the rate of change in the structural complexity of S (as determined by its degree of categorical invariance), whenever the objects in R are removed from the set S. The measure captures deterministically the signi?cant role that context and category structure play in determining the relative quantity and quality of subjective information conveyed by particular objects in multi-object stimuli.
%K Representational Information, Concepts, Invariance, Complexity, Information measure, Subjective information
%P 4847-4859
%V 181
%D 2011
%I Elsevier
%L cogprints7961