Encyclopedia of Database Systems

2018 Edition
| Editors: Ling Liu, M. Tamer Özsu

Approximate Reasoning

  • Vilém Novák
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-8265-9_5012

Definition

Approximate reasoning is a deduction method which makes it possible to derive a conclusion on the basis of imprecisely characterized situation (quite often using linguistically specified fuzzy IF-THEN rules) and a new information that can also be imprecise. The basic scheme of approximate reasoning is the following:
$$ \begin{array}{ll}\mathrm{Condition}:& \mathrm{IF}X\mathrm{is}{A}_1\mathrm{THEN}Y\mathrm{is}{B}_1\\ &\dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \\ &\mathrm{IF}X\mathrm{is}{A}_m\mathrm{THEN}Y\mathrm{is}{B}_m\\ &\mathrm{Premise}:X\mathrm{is}{A}^{\prime}\\ &\dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \\ &\mathrm{Conclusion}:Y\mathrm{is}{B}^{\prime}\end{array} $$
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Recommended Reading

  1. 1.
    Klir GJ, Yuan B. Fuzzy sets and fuzzy logic: theory and applications. New York: Prentice-Hall; 1995.zbMATHGoogle Scholar
  2. 2.
    Novák V, Lehmke S. Logical structure of fuzzy IF-THEN rules. Fuzzy Sets Syst. 2006;157(15):2003–29.MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    Novák V, Perfilieva I. On the semantics of perception-based fuzzy logic deduction. Int J Intell Syst. 2004;19:1007–31.zbMATHCrossRefGoogle Scholar
  4. 4.
    Novák V., Perfilieva I., and Močkoř J . Mathematical principles of fuzzy logic. Kluwer, Boston/Dordrecht, 1999.zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute for Research and Applications of Fuzzy ModelingUniversity of OstravaOstravaCzech Republic