Abstract
Rough set theory provides a very useful research method for knowledge structures. This paper outlines a possible relationship between knowledge structures and rough sets. We characterize knowledge spaces with rough upper approximations. In particular, we discuss the knowledge structures induced by a skill map via disjunctive and conjunctive models by means of rough set approaches and identify the conditions under which the knowledge structures induced by a skill multimap are closed under union or intersection. The covering reduction technique is used to identify the minimal skill maps. Finally, we define the knowledge structures induced via the disjunctive model by skill multimaps and study an open problem (Falmagne and Doignon (2011) [3, Chap. 6, Question 7]: Under which condition on a skill multimap is the delineated structure closed under intersection?
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