>>> John Boone on Fuzzy 
 WE> So far this is gab, where's the math? 
 JB> "Fuzzy Logic", he wrote wasn't a "math" book; as, he said  
 JB> there were other books that dealt with the math. 
Sigh. let's go for the gusto, what level of mathematics can you hack?
 
 JB> In Fuzzy logic set theroy, a "thing" may belong to a set
 JB> (A) -AND- (not A) at the same time giving truth values  
 JB> between and inclusive of zero and one.   
 WE> What's the definitions?
 JB> I am unsure. 
Have I cover this in my rock and river example?
 WE> fuzzy 
 WE> set theory an element x belongs to a set A with degree d, 0  
 WE> <= d <= 1, x member A (d).  For example, A = {rocks in  
 JB> This is my understanding of it. 
Good, we're talking about the same thing.  x î A (d).
î is epsilon, Ascii 238, an open e like looking character.
Does it come thru as such?  x î A is x is a member of A, how the degree of 
fuzziness is notated I'm not sure, hence my guess x î A (d).
 WE> In general x member notA (d) when x member A (1-d), 
 WE> the definition of not A. 
 JB> Yes, it is, I am going to print it out to ponder it a bit. 
This is the definition of the fuzzy set not A, for the fuzzy set A & B and 
the fuzzy set A or B, maybe these are the definitions. 
x î A or B (max(a,b)) iff x î A (a) or x î B (b)
x î A & B (min(a,b)) iff x î A (a) and x î B (b)
'iff' means 'if and only if'. 
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