September 2014
Intermediate to advanced
632 pages
21h 5m
English
Content preview from Soft Computing and Its Applications, Volume One
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Fuzzy Logic 273
12
()QQ
≥⊗ A’s are C’s
where the fuzzy number
12
()QQ≥⊗
is read as “at least
12
()QQ⊗
” In particular,
if the fuzzy quantifiers and are monotone increasing (for example, when “
12
QQ
=≡
most”), then
12 12
()QQ QQ≥ ⊗ =⊗
and Equation (3.47) becomes
1
Q
A’s are B’s
2
Q (A and B)’s are C’s (3.48)
12
()QQ
⊗ A’s are C’s .
Furthermore, if B is a subset of A, then A and B = B, and Equation (3.48) reduces to
the chaining rule:
1
Q
A’s are B’s
2
Q B’s are C’s (3.49)
12
()QQ
⊗ A’s are C’s .
Example 3.47
Most students are undergraduates.
Most undergraduates are young.
Most
2
students are young.
where “most
2
” represents the product of the fuzzy number ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.