Encyclopedia of Database Systems

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

Fuzzy/Linguistic IF-THEN Rules and Linguistic Descriptions

  • Vilém Novák
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-8265-9_5011

Definition

Fuzzy/linguistic IF-THEN rules are structured expressions of natural language having the form
$$ \mathrm{\mathcal{R}}\kern0.5em =\kern0.5em IF\kern0.5em X\kern0.5em is\kern0.5em \mathcal{A}\kern0.5em THEN\kern0.5em Y\kern0.5em is\kern0.5em \mathrm{\mathcal{B}} $$
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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 Set 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(11):1007–31.zbMATHCrossRefGoogle Scholar
  4. 4.
    Novák V, Perfilieva I, Močkoř J. Mathematical principles of fuzzy logic. Boston/Dordrecht: Kluwer; 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