* Two fuzzy sets and are equal () iff
::

* A fuzzy set is included in a fuzzy set () iff
::

* For any fuzzy set , any element that satisfies
::
:is called a crossover point.

* Given a fuzzy set , any , for which is not empty, is called a level of A.
* The level set of A is the set of all levels representing distinct cuts. It is the image of :
:: $\exist$

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