What Is Fuzzy Logic?

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the fuzzy sets to be combined. Finally, the fourth requirement allows us to
take the intersection of any number of sets in any order of pair-wise groupings.
Like fuzzy intersection, the fuzzy union operator is specified in general by
a binary mapping S:
µ A∩B
(x) =S(µ A
(x), µ B
(x))
For example, the binary operator S can represent the addition of
( ) ( )
μ x A
and μ x B
. These fuzzy union operators, which are often referred
to as T-conorm (or S-norm) operators, must satisfy the following basic
requirements:
A T-conorm (or S-norm) operator is a binary mapping S(.,.) satisfying
boundary: S(1, 1) = 1, S(a, 0) =S(0, a)=a
monotonicity: S(a, b)