Modelling of optimal expansion of a fuzzy competence set

A competence set, which is a Habitual Domain (HD), is a collection of knowledge and skills. We use such knowledge and skills to solve problems. Based on the concept of fuzzy set theory, this study proposes a method to find an optimal process to expand one's competence set. This process presents an expansion order and by a directed graph, the optimal path of expansion at each stage can be found by a proposed model. This model is a minimization form constrained by max-product fuzzy relation inequalities. With this model, not only the compound skills can be considered, but also the levels of the acquired skills to solve a problem can be described. Theoretical support is accompanied by an illustrative example.