What Is Fuzzy Logic?

2 Tutorial
if temperature is cold then hot water valve is open and cold water valve is
shut
in which case all consequents are affected equally by the result of the
antecedent. How is the consequent affected by the antecedent? The
consequent specifies a fuzzy set be assigned to the output. The implication
function then modifies that fuzzy set to the degree specified by the antecedent.
The most common ways to modify the output fuzzy set are truncation using
the min function (where the fuzzy set is truncated as shown in the following
figure) or scaling using the prod function (where the output fuzzy set is
squashed). Both are supported by the toolbox, but you use truncation for
theexamplesinthissection.
Antecedent
Consequent
If service is excellent or food is delicious then
tip = generous
1. Fuzzify
inputs
excelent
service (crisp)
0.0
delicious
food (crisp)
0.7
µ (service==excellent) = 0 .0
µ (food==delicious) = 0 .7
2. Apply
OR operator
(max)
If ( 0.0 or 0.7 ) then
0.7 0.7
0.0
max(0.0, 0.7) = 0.7
tip = generous
3. Apply
implication
operator (min)
If ( 0.7 ) then tip = generous
0.7
generous
min(0.7, generous)
tip (fuzzy)
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