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AI- firing strength for output with 2 different inputs

  1. Apr 12, 2012 #1
    Question:

    IF x is A AND y is B THEN z is C
    where

    A=0.1/1 + 0.4/2 + 0.7/3 + 1.0/4 + 0.6/5 + 0.2/6 + 0.1/7
    B=0.3/1 + 0.8/2 + 1.0/3 + 0.6/4 + 0.5/5 + 0.3/6 + 0.2/7
    C=0.3/1 + 0.5/2 + 0.7/3 + 1.0/4 + 0.8/5 + 0.4/6 + 0.0/7

    Find the fire strength and evaluate output z:
    a) for x which is a fuzzy singleton at 4 and y which is a fuzzy singleton at 2
    b) for fuzzy inputs
    x = 0.1/2 + 0.6/3 + 1.0/4 + 0.6/5 + 0.1/6
    y = 0.2/3 + 0.7/4 + 1.0/5 + 0.5/6 + 0.1/7


    Now the below is something that I tried, but I'm not sure whether I got it correctly or not.

    For part (a)
    I used this min(μ(A),μ(B))*C
    therefore I have z=0.03/1 + 0.2/2 +0.49/3+0.6/4+0.4/5+0.08/6+0/7

    For part (b), I have no idea what is my first step.

    If anyone have any idea, just let me know. I'm willing to start the calculation, just let me know what is the first step.

    Thanks a lot....
     
  2. jcsd
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