Application of Set Theory

NAME: AKINWANDE MODUPE YETUNDE

REGISTRATION NO.: ADP12/13/EX/MBA/1396

MBA633: QUANTITATIVE TECHNIQUES

ASSIGNMENT ON SET THEORY

TITLED: WHEN AND HOW TO APPLY SET THEORY IN MANAGEMENT

(SET THEORY AND ITS APPLICATION IN MANAGEMENT)

SET THEORY AND ITS APPLICATION IN MANAGEMENT

1.1A BRIEF INTRODUCTION AND DEFINITION

Set theory was created at the end of the nineteenth century in order to help define the ever-expanding field of mathematics, specifically the concept of infinity.

Set theory is the branch of mathematical logic that studies sets, which are collections of objects.

By definition, a set is a collection of members that are defined by various properties. A set can be finite or infinite. Also, it is possible to have many different sets that are infinite. For instance, one can create a set of even integers and also a set of odd integers. (an integer is a complete number that has no fraction or decimal expressed with it). These two sets are both infinite in size, yet they contain no common numbers.

1.2 SETS AND ELEMENTS

Sets of objects, numbers, departments, job descriptions, etc. are things that we all

deal with every day of our lives. Mathematical Set Theory just puts a structure around

this concept so that sets can be used or manipulated in a logical way. The type of notation

used is a reasonable and simple one.

1.2.1 APPLICATION OF SETS AND ELEMENTS

For a company manufacturing 5 different products; a, b, c, d, and e,

The whole set of products might be identified, mathematically as P, say, and write:

P = (a, b, c, d, e)

This is translated as 'the set of company products, P, consists of the members (or elements) a, b, c, d and e...

More application of Sets and its elements are as follows:

a) The employees of a company working in the purchase department could be written as:

P = (Jones, Wilson, Gerald, Smith, Harrison)

b) The warehouse locations of a large supermarket chain could be written as:

W =...