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value will have a slope where the value is increasing, a peak where the value is equal to 1 (which can have a length of 0 or greater) and a slope where the value is decreasing. They can also be defined using a sigmoid function. One common case is the standard logistic function defined as

:

which has the following symmetry property

:

From this it follows that

Fuzzy logic operators

Fuzzy logic works with membership

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