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Piecewise linear fuzzy quantities : A way to implement fuzzy information into expert systems and fuzzy databases

  • R. Baekeland
  • E. E. Kerre
Intelligent Data Base
Part of the Lecture Notes in Computer Science book series (LNCS, volume 313)

Abstract

In this paper we investigate the mathematical properties of piecewise linear fuzzy quantities. We show that most operations on these quantities yield a fuzzy quantity of the same type. Moreover the given proofs indicate sufficient information for writing appropriate computerprograms. Finally we point out the use of piecewise linear fuzzy quantities for representing imprecise and uncertain data in expert systems and databases.

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References

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    R. Baekeland and E. Kerre, Remarkable continuity-preserving properties of the extented operations on fuzzy quantities. Proceedings Second IFSA-EC and EURO-WG Workshop, Vienna, 1987.Google Scholar
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    D. Dubois and H. Prade, Fuzzy Sets and Systems, Academic Press, New York, 1980.Google Scholar
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    D. Dubois and H. Prade, Théorie des Possibilités, Masson, Paris, 1985.Google Scholar
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    E. Kerre and A. Van Schooten, A deeper look on fuzzy numbers from a theoretical as well as from a practical point of view. To appear in "Fuzzy logic in knowledge-based systems, decision and control" (eds. M.M. Gupta, T. Yamakawa), North Holland.Google Scholar
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    R. Vandenberghe, A. Van Schooten, R. De Caluwe, E. Kerre, Application of fuzzy data base techniques to criminal investigation", Proceedings Second IFSA Congress, Tokyo, vol.2, pp.661–664.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • R. Baekeland
    • 1
  • E. E. Kerre
    • 2
  1. 1.Seminar for StatisticsState University of GentGentBelgium
  2. 2.Seminar for Mathematical AnalysisState University of GentGentBelgium

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