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A note on the separability of items in knowledge structures delineated by skill multimaps. (English) Zbl 1465.91088

Summary: This paper introduces the bi-separability of items in knowledge structures as a bidirectional separability of items. Let \((Q,\mathcal{K})\) be the knowledge structure delineated by the skill multimap \((Q,S,\mu)\). This paper gives some necessary and sufficient conditions, expressed in terms of competencies of \(\mu\), ensuring that \((Q,\mathcal{K})\) is discriminative (resp. bi-discriminative), which generalizes the discussion of the separability of items in the delineated knowledge structure from skill maps to skill multimaps. As applications of these results, the separability and the bi-separability are discussed around distributed skill functions and the meshing of the delineated knowledge structures.

MSC:

91E40 Memory and learning in psychology
Full Text: DOI

References:

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