Generalizing quasi-ordinal knowledge spaces to polytomous items
J Heller - Journal of Mathematical Psychology, 2021 - Elsevier
Based on the celebrated Birkhoff theorem, Doignon and Falmagne (1985) establish a one-to-
one correspondence between certain binary relations on a domain of (dichotomous) items …
one correspondence between certain binary relations on a domain of (dichotomous) items …
CD‐polytomous knowledge spaces and corresponding polytomous surmise systems
B Wang, J Li, W Sun - British Journal of Mathematical and …, 2023 - Wiley Online Library
Abstract Heller (2021) generalized quasi‐ordinal knowledge spaces to polytomous items.
Inspired by this paper, we propose CD‐polytomous knowledge space and its polytomous …
Inspired by this paper, we propose CD‐polytomous knowledge space and its polytomous …
A novel concept-cognitive learning method: A perspective from competences
X Xie, W Xu, J Li - Knowledge-Based Systems, 2023 - Elsevier
Abstract Concept-cognitive learning has been widely used in simulating the human brain to
learn concepts. However, the existing concept-cognitive learning models mainly focused on …
learn concepts. However, the existing concept-cognitive learning models mainly focused on …
Constructing polytomous knowledge structures from fuzzy skills
W Sun, J Li, F Lin, Z He - Fuzzy Sets and Systems, 2023 - Elsevier
The dichotomous knowledge structure theory was introduced to polytomous items, which is
proved meaningful in representing individuals' partial mastery of items. Given that different …
proved meaningful in representing individuals' partial mastery of items. Given that different …
Knowledge structures delineated by fuzzy skill maps
W Sun, J Li, X Ge, Y Lin - Fuzzy Sets and Systems, 2021 - Elsevier
Skills represent the underlying cognitive abilities, which consist in methods, algorithms or
tricks etc. Skills can be used to interpret individuals' knowledge states. A skill map assigns a …
tricks etc. Skills can be used to interpret individuals' knowledge states. A skill map assigns a …
Skills and fuzzy knowledge structures
Y Zhou, J Li, H Wang, W Sun - Journal of Intelligent & Fuzzy …, 2022 - content.iospress.com
In knowledge space theory (KST), knowledge structure is an effective feature to evaluate
individuals' knowledge and guide future learning. How to construct knowledge structures is …
individuals' knowledge and guide future learning. How to construct knowledge structures is …
Knowledge structures construction and learning paths recommendation based on formal contexts
Y Zhou, J Li, H Yang, Q Xu, T Yang, D Feng - International Journal of …, 2024 - Springer
Abstract Knowledge structure is a valid characteristic for assessing individuals' knowledge
and guiding their future learning. Based on formal context, there are methods to construct a …
and guiding their future learning. Based on formal context, there are methods to construct a …
Notes on the polytomous generalization of knowledge space theory
B Wang, J Li, W Sun, D Luo - Journal of Mathematical Psychology, 2022 - Elsevier
Abstract Stefanutti et al.(2020) and Heller (2021) have recently done significant work on the
polytomous extensions of knowledge space theory (KST), which opens the field for …
polytomous extensions of knowledge space theory (KST), which opens the field for …
[HTML][HTML] Towards a competence-based polytomous knowledge structure theory
L Stefanutti, A Spoto, P Anselmi… - Journal of Mathematical …, 2023 - Elsevier
The present article lays out the foundations of an axiomatic theory of attribute maps, an
extension of skill maps to polytomous knowledge structure theory. A deterministic …
extension of skill maps to polytomous knowledge structure theory. A deterministic …
SOLO taxonomy-based knowledge structure with subjective items
R Wu, Y Lin - Journal of Intelligent & Fuzzy Systems, 2022 - content.iospress.com
As an important mathematical theory in intelligent learning and assessment system,
knowledge space theory merely cares about items are mastered or non-mastered. Thus it …
knowledge space theory merely cares about items are mastered or non-mastered. Thus it …