Re: WHAT IS FUZZY SET THEORY? Re: fuzzy and probability

Will Dwinnell (76743.1740@compuserve.com)
Wed, 3 Mar 1999 01:34:46 +0100 (MET)

"However, for many Fuzzy Settians, there exists another part of
fuzzy set theory. This is the claim that the concept of a
partial grade of membership of an object or an attribute value in
a class does not have a probabilistic interpretation. I consider
this claim to be a pure DOGMA which is not worthy of a serious
scientific theory."

I can only speak for myself ('fuzzy settians' with other ideas
are on their own), but to my way of thinking, fuzzy logic is less
a 'scientific theory' than it is a useful engineering tool.
Comparisons to deductive logic and probability theory are
important, but I do not think they define fuzzy logic well. I
prefer to consider what role fuzzy logic plays, and how it does
so to understand what it is. At the bottom level, fuzzy logic
uses mathematical distributions (yes, like probability
distributions). Whether we wish to give the numbers which
comprise those distributions a probabilistic interpretation would
seem to be a matter of context, not 'dogma', to me.

-- 
Will Dwinnell

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