Abstract
Several notions motivated by the problem of classifying objects according to the values of their attributes were introduced and examined. We mention for example the logical kit of Semadeni [2], the information system of Pawlak [1], the context of Wille [3] and the probably most commonly known and applied relational database model of Codd [7]. From some points of view the above notions are equivalent or inter-translatable (see e.g. Wiweger [4], where the relation among logical kits, information systems and contexts is explained); of course there are important differences among them. In every of the models mentioned we have other classes of questions considered and areas of applications also do not coincide.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Z. Pawlak, Information systems-theoretical foundations; Information systems, 6 (1981), pp. 205–218.
Z. Semadeni, On classification, logical educational materials, and automata, Colloq. Math., 31 (1974), pp. 137–153
R. Wille, Restructuring lattice theory: an approach based on hierarchies of concepts; in: I. Rival (ed.), Ordered sets, Reidel, 1982, p. 445–470.
A. Wiweger, Knowledge representation systems, Logical Kits, and Contexts, Bull. Pol. Math. 36 (3–4), 1988, pp. 99–111.
A. Obtulowicz, Rough sets and Heyting algebra valued sets, Bull. Pol. Math. 35 (9–10), 1987, pp. 667–673.
T. Bieganska, Algebraic and categorial aspects of rough sets, Phd thesis, Warsaw University of Technology, 1990 (in Polish).
E.F. Codd, A relational model for large shared data banks; in: Communications of the ACM, vol. 13 1970.
J. Lambek and P.J. Scott, Introduction to higher order categorical logic, Cambridge studies in advanced mathematics 7, 1986.
M. Banerjee, M.K. Chakraborty, A category for rough sets, preprint, Dept. of pure Math., University of Calcutta, India, 1993.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 British Computer Society
About this paper
Cite this paper
Pomykala, J.A., de Haas, E. (1994). A Note on Categories of Information Systems. In: Ziarko, W.P. (eds) Rough Sets, Fuzzy Sets and Knowledge Discovery. Workshops in Computing. Springer, London. https://doi.org/10.1007/978-1-4471-3238-7_18
Download citation
DOI: https://doi.org/10.1007/978-1-4471-3238-7_18
Publisher Name: Springer, London
Print ISBN: 978-3-540-19885-7
Online ISBN: 978-1-4471-3238-7
eBook Packages: Springer Book Archive