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On Liu’s Inference Rules for Fuzzy Inference Systems

  • Conference paper
Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods (IPMU 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 80))

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Abstract

Liu’s inference is a process of deriving consequences from fuzzy knowledge or evidence via the tool of conditional credibility. Using membership functions, this paper derives some expressions of Liu’s inference rule for fuzzy systems. This paper also gives some new inference rules with multiple antecedents and with multiple if-then rules.

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References

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Author information

Authors and Affiliations

  1. School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, P.R. China

    Xin Gao

  2. Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA

    Dan A. Ralescu

  3. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P.R. China

    Yuan Gao

Authors
  1. Xin Gao
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  2. Dan A. Ralescu
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  3. Yuan Gao
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Marburg, Germany

    Eyke Hüllermeier

  2. Department of Knowledge Processing and Language Engineering, Otto-von-Guericke University of Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany

    Rudolf Kruse

  3. Fakultät für Elektrotechnik und Informationstechnik, Technische Universität Dortmund, 44221, Dortmund, Germany

    Frank Hoffmann

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© 2010 Springer-Verlag Berlin Heidelberg

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Gao, X., Ralescu, D.A., Gao, Y. (2010). On Liu’s Inference Rules for Fuzzy Inference Systems. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods. IPMU 2010. Communications in Computer and Information Science, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14055-6_60

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  • DOI: https://doi.org/10.1007/978-3-642-14055-6_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14054-9

  • Online ISBN: 978-3-642-14055-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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