Newsgroups: comp.ai.fuzzy
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From: bparks@netcom.com (bryan parks)
Subject: Fuzzy Logic 101
Message-ID: <bparksDuDssM.HtF@netcom.com>
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Date: Thu, 11 Jul 1996 13:43:34 GMT
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Greetings! I am new to this concept of "fuzzy logic", but find it
very interesting and have become a sponge in efforts to learn all
I can about it. The only book in my posession is from Daniel McNiell
and Paul Freiberger simply titled "Fuzzy Logic". In it, I found a
simple example of the logistics behind crisp and fuzzy values. However,
and this is embaressing to admit, the math escapes me. For example:

  Rivers                                           Truth Values
                                                   crisp  fuzzy

  The Nile (4180 m) is a long river.                 1      1
  The Mississippi (2348 m) is a long river.          1      0.8
  The Danube (1766 m) is a long river.               1      0.7
  The Rhine (820 m) is a long river.                 0      0.4
  The Hudson (306 m) is a long river.                0      0.2

I understand other concepts such as those in Cantor's Sets (set,
complement, intersection and union), but am unable to yield the above
results in the example on my calculator. I would be very grateful to
anyone who would take the time to help me grasp the (perhaps, obvious)
math involved.


Bryan (bparks@netcom.com)


