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Fig. 3.1 The hybrid student model F.O.S.
The particular hybrid student model is called F fuzzy logic system, O verlay
and S tereotypes (F.O.S.). It includes a rule-based fuzzy logic system, which
is responsible for tracking and updating the knowledge level of each domain
concept of the learning material for each individual system; an overlay model,
which represents the knowledge level of the student; and a three-dimensional
stereotype model (Fig. 3.1 ). The fuzzy rules are used to define the learner's
knowledge level of each domain concept of the learning material. Therefore, the
results of the application of that rules determine the overlay model. Information
of the overlay model is used to define the first dimension of the stereotype
model, which concerns the learner's knowledge level and vary from novices to
experts. The second dimension, which concerns the type of errors that a learner
can make, and the third dimension, which concerns the prior knowledge of the
student on related knowledge domain fields, are not determined by the rest parts
of the student model.
3.3.1 Fuzzy Rules
It is not a straightforward task to define for each learner which concepts are
unknown, known or assimilated and at what degree. The student's progress
assessment includes statements like “The concept A is 72 % 'Known' for the
student”, “The concept X is 60 % 'insufficiently known' for the learner”, “The
student has learnt 100 % the concept Y”, “The concept Z is 100 % 'unknown'
for student Z”. This information is imprecise. One possible approach to deal
with this is fuzzy set techniques, with their ability to naturally represent human
conceptualization. That is the reason for the integration of fuzzy logic techniques
into the hybrid student model.
The rule-based fuzzy logic system is responsible for identifying and
updating the student's knowledge level of all the concepts of the knowledge
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