Skill map based knowledge structures: some considerations about their identifiability |
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| Affiliation: | 1. Instituto de Filosofía “Dr. Alejandro Korn” (UBA-CONICET), Argentina;2. Center Leo Apostel for Interdisciplinary Studies, Foundations of the Exact Sciences (Vrije Universiteit Brussel), Belgium;3. Dipartimento di Matematica e Informatica, U. Dini Viale Morgagni, 67/a, 50134 Firenze, Italy;4. Departamento de matemtica (UNR-CONICET), Av Pellegrini, 250 Rosario, Argentina;5. Instituto de Astronomía y Física del Espacio (UBA-CONICET), Argentina;1. Department of Mathematics, University of Cádiz, Spain;2. University of Paul Sabatier, Toulouse, CNRS, France;1. Dip. Economia, Università degli Studi di Perugia, 06100 Perugia, Italy;2. Dip. MEMOTEF, “La Sapienza” Università di Roma, 00185 Roma, Italy;1. Department of Basic and Applied Sciences for Engineering, University of Rome “La Sapienza”, Via A. Scarpa 14, 00161 Roma, Italy;2. Department of Mathematics and Computer Science, Via Archirafi 34, 90123 Palermo, Italy |
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| Abstract: | In this article identification of skill multi map based knowledge structures is studied. It is shown how some possible modifications to the skill map may lead the probabilistic knowledge structure to be not identifiable. More specifically, we refer to particular modifications such as adding skills, or adding competencies for an item q. We demonstrate how these changes in the skill map lead the derived knowledge structure to be backward-graded or forward-graded respectively, and how these two particular kinds of structures are not identifiable. |
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