• DocumentCode
    527741
  • Title

    Fuzzy network of reasoning by SVD and Morphotronic network

  • Author

    Resconi, Germano ; Chaczko, Zenon

  • Author_Institution
    Dept. of Math. & Phys., Catholic Univ. Brescia, Brescia, Italy
  • fYear
    2010
  • fDate
    18-23 July 2010
  • Firstpage
    1
  • Lastpage
    8
  • Abstract
    In the classical logic the inferential process is based on the modus ponens rule for which when the rule that connects the premise with the consequence is true and the premise is true, we know that the consequence is also true. Now, in the fuzzy inferential process the premise and the consequence are not logic propositions that assume the logic values true or false but are fuzzy sets that can assume values between zero and one. The classical logic rule is replaced with the fuzzy rule R. In this paper, we demonstrate that the fuzzy reasoning network is isomorphic to the Morphotronic network that includes the SVD technique. We also show that Morphotronic network is capable to simulate complex fuzzy reasoning or fuzzy inference in a completely new way.
  • Keywords
    fuzzy logic; fuzzy reasoning; singular value decomposition; SVD technique; classical logic rule; fuzzy inferential process; fuzzy reasoning network; logic propositions; modus ponens rule; morphotronic network; Equations; Least squares approximation; Linear systems; Matrix decomposition; Noise; Noise measurement; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems (FUZZ), 2010 IEEE International Conference on
  • Conference_Location
    Barcelona
  • ISSN
    1098-7584
  • Print_ISBN
    978-1-4244-6919-2
  • Type

    conf

  • DOI
    10.1109/FUZZY.2010.5584018
  • Filename
    5584018