# subset

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Related to Subset inclusion: Proper subset

## subset

*Maths*

**a.**a set the members of which are all members of some given class:

*A is a subset of B*is usually written A⊂B

**b.**

**proper subset**one that is strictly contained within a larger class and excludes some of its members.

## Subset

A subset of a set *A* is any set each of whose elements belongs to *A.* For example, the set of all even numbers is a subset of the set of all integers. If the empty set is included among the sets, then by definition it is a subset of any other set. The set *A* itself and the empty set are sometimes called improper subsets, while the other subsets are called proper.

## subset

[′səb‚set] (communications)

A telephone or other subscriber equipment connected to a communication system, such as a modem. Derived from subscriber set.

(mathematics)

A subset

*A*of a set*B*is a set all of whose elements are included in*B*.A fuzzy set

*A*is a subset of a fuzzy set*B*if, for every element*x*, the value of the membership function of*A*at*x*is equal to or less than the value of the membership function of*B*at*x*.