Relation nets and hypernets

Rooyen, Hendrik O. van ; Stetter, Franz ; Geldenhuys, Aletta E.

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URL:	https://ub-madoc.bib.uni-mannheim.de/765
URN:	urn:nbn:de:bsz:180-madoc-7653
Dokumenttyp:	Arbeitspapier
Erscheinungsjahr:	2001
Titel einer Zeitschrift oder einer Reihe:	Manuskripte / Reihe Informatik
Band/Volume:	01-020
Ort der Veröffentlichung:	Mannheim
Sprache der Veröffentlichung:	Englisch
Einrichtung:	Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC-Schriftenreihe:	Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Informatik > Technical Reports
Fachgebiet:	004 Informatik
Normierte Schlagwörter (SWD):	Wissensrepräsentation , Wissensmanagement
Freie Schlagwörter (Englisch):	knowledge representation , relation nets , modelling by means of hypergraphs , knowledge structure
Abstract:	In many respects this report is a companion work of our book "Knowledge representation and relation nets. Kluwer Academic Publishers, Boston, 1999". In some senses it runs parallel to it, while in others it is a sequel to that book. Readers not familiar with the book will find themselves refering back to it several instances to follow some of the subtleties of this work, particularly in the case of concept-relationship knowledge stuctures, abbreviated CRKS in what follows. The main application of CRKS's - namely modelling study material - is not explicitly transscribed to this paper, but that whole notion is abstracted and made independent of any specific teaching/learning metalanguage through the implications of this abstraction. Two key factors emerge from this paper on hypernets. First, unlike the case for CRKS's in which little of the general theory of relation nets applies to CRKS's, the broad theory of hypernets, as far as it is covered in this report, is often applicable to the hypernet equivalent of a CRKS. Second, we will show a link between relation net isomorphism and hypernet isomorphism which makes it considerably easier to deal with CRKS isomorphism and, thus, with structural analogy as used in a modelling based approach to teaching/learning/analogical reasoning. Finally, we must mention that it appears that the domain of potential practical applications of hypernets must inevitably be wider than that for relation nets.