Solution Found!
The complement of a fuzzy set S is the set , with the
Chapter 1, Problem 63E(choose chapter or problem)
The complement of a fuzzy set \(S\) is the set \(\bar{S}\), with the degree of the membership of an element in \(\bar{S}\) equal to 1 minus the degree of membership of this element in \(S\). Find \(\bar{F}\) (the fuzzy set of people who are not famous) and \(\bar{R}\) (the fuzzy set of people who are not rich).
Equation Transcription:
Text Transcription:
S
Bar S
Bar F
Bar R
Questions & Answers
QUESTION:
The complement of a fuzzy set \(S\) is the set \(\bar{S}\), with the degree of the membership of an element in \(\bar{S}\) equal to 1 minus the degree of membership of this element in \(S\). Find \(\bar{F}\) (the fuzzy set of people who are not famous) and \(\bar{R}\) (the fuzzy set of people who are not rich).
Equation Transcription:
Text Transcription:
S
Bar S
Bar F
Bar R
ANSWER:Solution:
Step 1:
We have two sets
F-(famous people)-{0.6 Alice, 0.9 Brian, 0.4 Fred, 0.1 Oscar, 0.5 Rita}
R-(rich people)={0.4 Alice, 0.8 Brian, 0.2 Fred, 0.9 Oscar, 0.7 Rita}