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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