Discriminability around polytomous knowledge structures and polytomous functions.

Br J Math Stat Psychol

School of Mathematical Sciences, Soochow University, Suzhou, China.

Published: November 2024

The discriminability in polytomous KST was introduced by Stefanutti et al. (Journal of Mathematical Psychology, 2020, 94, 102306). As the interesting topic in polytomous KST, this paper discusses the discriminability around granular polytomous knowledge spaces, polytomous knowledge structures, polytomous surmising functions and polytomous skill functions. More precisely, this paper gives some equivalences between the discriminability of polytomous surmising functions (resp. polytomous skill functions) and the discriminability of granular polytomous knowledge spaces (resp. polytomous knowledge structures). Such findings open the field to a systematic generalization of the discriminability in KST to the polytomous case.

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http://dx.doi.org/10.1111/bmsp.12370DOI Listing

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