A teaching system using fuzzy subsets and multicriteria analysis

Learning management in the field of didactics demands an evaluation of knowledge and aptitudes which is as precise as possible. The treatment of subjective data will be facilitated by the ‘fuzzy subset theory ‘, a new theory particularly interesting for those connected with the social sciences. Objective data will be dealt with by multicriteria analysis, more precisely, by simultaneously using the Iphigenia method and the hierarchical analysis method.

This will permit us to effect a single partition in a group of students, that is to say, to distribute them into some number of disjointed aggregates.

To each aggregate, we associate a state function characterized by a vector having a component for each evaluated aptitude. If the evaluations succeed each other, each individual will be guided across the different delineated learning steps with maximum efficiency.