Fuzzy Relations (UMAP)
Author: Elizabeth Youngstrom
In this module the use of fuzzy relations and composition is explored, showing how they can be used in practical applications. Traditional properties for relations are also explored in the fuzzy context. When students learn about fuzzy relations, not only do they learn about this fascinating new area of mathematics, but they also acquire a deeper understanding of the traditional counterparts to the fuzzy concepts being studied.
Table of Contents:
INTRODUCTION
FUZZY RELATIONS/CRISP RELATIONS
The Membership Matrix
Domain and Range
COMPOSITION
PROPERTIES OF FUZZY RELATIONS
CONCLUSION
SOLUTIONS TO THE EXERCISES
SAMPLE EXAM
SOLUTIONS TO THE SAMPLE EXAM
REFERENCES
ABOUT THE AUTHOR
Mathematics Topics:
Application Areas:
Prerequisites:
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