Competence-Based Skill Functions and Minimal Sets of Skills

Abstract

As we know, there is some relationship, such as precedence relation, among skills. Each precedence relation induces a competence structure. Thus, we study competence-based skill functions, which rely on competence structures and go from somethings observable to somethings invisible. Conversely, competence-based problem functions go from somethings invisible to somethings observable. In fact, these two dual types of functions based on competence structures are symmetry. Remarkably, there are two kinds of special competence-based skill functions: one is disjunctive, while the other is conjunctive. The former delineates knowledge spaces, which are symmetrical to simple closure spaces delineated by the latter. Based on these facts, we shows some theoretical results on competence-based skill functions, then design the corresponding algorithms for delineating knowledge structures. Sometimes for competence-based skill functions, some skills are maybe reducible. Thus, we discuss what kind of skills are reducible and obtain sufficient and some necessary conditions for skills being reducible for competence-based skill functions. Based on this, we design algorithms to reduce reducible skills and get minimal sets of skills. By comparison, for competence-based skill functions, we can find minimal sets of skills with the smallest cardinality whenever sets of skills are finite. For each algorithm, we take a corresponding example to illustrate the detailed procedure.

Elevating vehicle inspection quality through knowledge: unlocking excellence

“…An example of increasing the knowledge and skills of vocational school graduates can be an effective strategy to improve employment outcomes in the government sector (Ilham et al, 2024) The development of technology cannot be separated from the influence of science and technology, which continues to develop and transform. The more skills a person possessed, the more items he could solve and the more desire he had to improve skills and competencies (He & Sun, 2022). Good knowledge, adequate skills, and competence will help employees carry out their duties and not cause doubts in making decisions in carrying out their duties (Smithikrai & Phetkham, 2019).…”