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Consortium for Mathematics and its Applications

Product ID: 99752
Supplementary Print
Undergraduate

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

©1997 by COMAP, Inc.
UMAP Module
34 pages

Mathematics Topics:

Discrete & Finite Mathematics , Set Theory

Application Areas:

Computers & Technology , Linguistics

Prerequisites:

Familiarity with relations; familiarity with function notation, including functions of two variables; familiarity with elementary set theory; familiarity with matrix multiplication would be helpful.

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