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function. The reference set (sometimes denoted by or ) is called universe of discourse, and for each the value is called the grade of membership of in . The function is called the membership function of the fuzzy set .

For a finite set the fuzzy set is often denoted by

Let . Then is called
* not included in the fuzzy set if $m(x)\; =\; 0$ (no member),
* fully included if $m(x)\; =\; 1$ (full member),
* partially included if (fuzzy member).{{Cite web}}The (crisp) set of all fuzzy sets on a universe is denoted with (or sometimes just ).

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