Re: Consistency of fuzzy rules

From: Adam Gaweda (aegawe01@brain.spd.louisville.edu)
Date: Tue Oct 23 2001 - 11:16:42 MET DST

  • Next message: WSiler@aol.com: "Re: Consistency of fuzzy rules"

    On 17 Oct 2001, Yaochu Jin wrote:

    > >WSiler@aol.com wrote:
    > >
    > >> I see no reason why different consequents mean necessarily that the
    > >> rules are inconsistent.
    > >
    > >I agree.
    > >I even would go one step further: rules are never inconsistent.
    > >Inconsistency only arises when rules contradict domain knowledge.
    > >This is irrespective of whether the rules are interpreted as
    > >Mamdani-like rules or as implications.
    >
    > This argument itself is inconsistent. Remind that fuzzy rules are believed to be
    > able to extract knowledge from data. If rules are never inconsistent, how can
    > rules be inconsistent with domain knowledge, which can usually be represented by
    > fuzzy rules? Just an example. From data, you get two rules:
    >
    > R1: If speed is high and distance is short, brake sharply (to stop)
    > R2: If speed is high and distance is short, brake slightly (to stop)
    >
    > These two rules, in my view are inconsistent.

    How about these two rules:

    R1: IF obstacle is straight ahead THEN turn left
    R2: IF obstacle is straight ahead THEN turn right

    Adam

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