# subset

(redirected from*Subset inclusion*)

Also found in: Dictionary, Thesaurus.

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.

Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

The following article is from

*The Great Soviet Encyclopedia*(1979). It might be outdated or ideologically biased.## Subset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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.

## 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*.McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## subset

A group of commands or functions that do not include all the capabilities of the original specification. Software or hardware components designed for the subset will also work with the original. However, any component designed for the full original specification will not operate with the subset product. Contrast with superset.Copyright © 1981-2019 by

**The Computer Language Company Inc**. All Rights reserved. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction is strictly prohibited without permission from the publisher.