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A Note on Categories of Information Systems

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Rough Sets, Fuzzy Sets and Knowledge Discovery

Part of the book series: Workshops in Computing ((WORKSHOPS COMP.))

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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.

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References

  1. Z. Pawlak, Information systems-theoretical foundations; Information systems, 6 (1981), pp. 205–218.

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  2. Z. Semadeni, On classification, logical educational materials, and automata, Colloq. Math., 31 (1974), pp. 137–153

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  3. R. Wille, Restructuring lattice theory: an approach based on hierarchies of concepts; in: I. Rival (ed.), Ordered sets, Reidel, 1982, p. 445–470.

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  4. A. Wiweger, Knowledge representation systems, Logical Kits, and Contexts, Bull. Pol. Math. 36 (3–4), 1988, pp. 99–111.

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  5. A. Obtulowicz, Rough sets and Heyting algebra valued sets, Bull. Pol. Math. 35 (9–10), 1987, pp. 667–673.

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  6. T. Bieganska, Algebraic and categorial aspects of rough sets, Phd thesis, Warsaw University of Technology, 1990 (in Polish).

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  7. E.F. Codd, A relational model for large shared data banks; in: Communications of the ACM, vol. 13 1970.

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  8. J. Lambek and P.J. Scott, Introduction to higher order categorical logic, Cambridge studies in advanced mathematics 7, 1986.

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  9. M. Banerjee, M.K. Chakraborty, A category for rough sets, preprint, Dept. of pure Math., University of Calcutta, India, 1993.

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© 1994 British Computer Society

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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

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  • 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

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