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

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Book cover Uncertainty and Intelligent Systems (IPMU 1988)

Part of the book series: Lecture Notes in Computer Science ((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

  1. 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.

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  2. D. Dubois and H. Prade, Fuzzy Sets and Systems, Academic Press, New York, 1980.

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  3. D. Dubois and H. Prade, Théorie des Possibilités, Masson, Paris, 1985.

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  4. 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.

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  5. 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.

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Author information

Authors and Affiliations

  1. Seminar for Statistics, State University of Gent, B 9000, Gent, Belgium

    R. Baekeland

  2. Seminar for Mathematical Analysis, State University of Gent, B 9000, Gent, Belgium

    E. E. Kerre

Authors
  1. R. Baekeland
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  2. E. E. Kerre
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Editor information

B. Bouchon L. Saitta R. R. Yager

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© 1988 Springer-Verlag Berlin Heidelberg

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Baekeland, R., Kerre, E.E. (1988). Piecewise linear fuzzy quantities : A way to implement fuzzy information into expert systems and fuzzy databases. In: Bouchon, B., Saitta, L., Yager, R.R. (eds) Uncertainty and Intelligent Systems. IPMU 1988. Lecture Notes in Computer Science, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19402-9_64

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  • DOI: https://doi.org/10.1007/3-540-19402-9_64

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19402-6

  • Online ISBN: 978-3-540-39255-2

  • eBook Packages: Springer Book Archive

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