Fuzzy Sets (UMAP)

Author: Elizabeth Youngstrom, Margaret Owens

This module explores elementary operations of set theory in a fuzzy setting and examines some applications of fuzzy set theory in decision-making.

Table of Contents:

INTRODUCTION

MEMBERSHIP IN FUZZY SETS
Membership Grades
The Membership Function

OPERATIONS OF FUZZY SETS
Complement
Union
Intersection

FUZZY SET THEORY VS. TRADITIONAL SET THEORY

BUILDING ON A FUZZY FOUNDATION
Fuzzy Relations
Composition

CONCLUSION

SOLUTIONS TO THE EXERCISES

SAMPLE EXAM

SOLUTIONS TO THE SAMPLE EXAM

REFERENCES

ABOUT THE AUTHORS