A GENERALIZATION OF KNOWLEDGE SPACE THEORY TO PROBLEMS WITH MORE THAN2 ANSWER ALTERNATIVES

In the theory of knowledge spaces (Doignon & Falmagne, 1985) a knowled ge domain is represented by a set Q of problems. The knowledge of a su bject in the knowledge domain is described by the subset of problems f rom the domain that the subject is able to solve. A central assumption is therefore that the answer of a subject to a problem can be classif ied as either correct or incorrect. We show that the central concepts of the theory can be generalized to problem domains in which solutions can be evaluated on a linear scale concerning their quality. (C) 1997 Academic Press.