Descriptive and Assessment Languages*

Jean-Claude Falmagne () and Jean-Paul Doignon ()
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Jean-Claude Falmagne: University of California, Irvine, Department of Cognitive Sciences, Institute of Mathematical Behavioral Sciences
Jean-Paul Doignon: Université Libre de Bruxelles, Département de Mathématique

Chapter 9 in Learning Spaces, 2011, pp 151-162 from Springer

Abstract: Abstract How can we economically describe a state in a knowledge structure? The question is inescapable because, as pointed out earlier, realistic states will typically be quite large. In such cases, it is impractical to describe a state by giving the full list of items that it contains. It is also unnecessary: because of the redundancy in many real-life knowledge structures1, a state will often be characterizable by a relatively small set of features. This idea is not new.In Chapter 4, we proved that any state in a well-graded knowledge structure could be fully described by simply listing its inner and outer fringes (cf. Theorem 4.1.7 and Remark 4.1.8(a)). Here, we consider this issue more systematically. This chapter is somewhat eccentric to the rest of this book and can be skipped without harm at first reading. We begin by illustrating the main ideas in the context of a simple example encountered earlier.

Keywords: Decision Tree; Knowledge Structure; Maximal Element; Descriptive Language; Knowledge State (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-01039-2_9

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