Re: Fuzzy Implication Rules with Fuzzy Input

From: Vilem Novak (NovakV@dynami.osu.cz)
Date: Tue Jan 16 2001 - 12:02:23 MET

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    Dr. Siler wrote:
    >> True implication operators such as you mention (NOT t-norms)
    >>are really
    >> useless in this situation. The only thing that will work is a t-
    >>norm, such as
    >> Mamdani uses.
    >Why are they useless? In some articles e.g. Zadeh or
    >Dubois/Prade have pointed out that for some applications
    >(especially in expert systems) such operators are needed.

    Of course, implication operations work very well. t-norms are NOT
    implications but generalizations of the conjunction. You can find a
    demo software dealing with Lukasiewicz implication on our WEB
    page

    http://ac030.osu.cz/irafm

    We call it Linguistic Fuzzy Logic Controller (LFLC) and it has also
    been applied for control of real process (still successfully working).
    A new version is being currently prepared.
            Though this demo does not allow fuzzy inputs, we have made
    experiments with them and they work correctly. The problem is in
    proper interpratation of the natural language expression we work
    with. These are so called evaluating linguistic expressions and if
    we confine to them then everything is OK.

    The theoretical explanation of all the staff (and much more) can be
    found in our book

    V. Novak, I. Perfilieva, J. Mockor: Mathematical Principles of Fuzzy
    Logic, Kluwer, Boston 1999.

    ###################################################
    Vilem Novak, DSc., Associate Professor
    University of Ostrava
    IRAFM (Institute for Research and Applications of Fuzzy Modeling)
    30. dubna 22
    701 03 Ostrava 1
    Czech Republic

    tel: +420-69-6160 234
    fax: +420-69-6120 478
    mob: +420-602-576 477
    e-mail: Vilem.Novak@osu.cz, novakv@osu.cz
    WEB: http://www1.osu.cz/irafm
    ###################################################

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