a. A UB: all clients deemed profitable or who are large spenders. b. AnB: all clients deemed profitable and large spenders. c. Ā and B: Those clients (i) deemed not profitable and (ii) deemed not large spenders (separately).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
icon
Concept explainers
Question

2.3 

 

2.3 In determining corporate profitability, many construction companies must make deci-
sions based on the particularclient's spending habits, such as the amount the client spends
and their capacity for spending. Many of these attributes are fuzzy. A client which spends
a "large amount" is considered to be “profitable" to the construction company. A “large"
amount of spending is a fuzzy variable, as is a “profitable" return. These two fuzzy sets
should have some overlap, but they should not be defined on an identical range.
A = {"large" spenders}.
B = {"profitable" clients}.
For the two fuzzy sets shown in Figure P2.3, find the following properties graphically:
1.0
5000
10000
50000 100000
Figure P2.3
a. A UB: all clients deemed profitable or who are large spenders.
b. AnB: all clients deemed profitable and large spenders.
c. Ā and B: Those clients (i) deemed not profitable and (ii) deemed not large spenders
(separately).
d. AB: Entities deemed profitable clients but not large spenders.
e. AUB=ANB (De Morgan's principle).
Transcribed Image Text:2.3 In determining corporate profitability, many construction companies must make deci- sions based on the particularclient's spending habits, such as the amount the client spends and their capacity for spending. Many of these attributes are fuzzy. A client which spends a "large amount" is considered to be “profitable" to the construction company. A “large" amount of spending is a fuzzy variable, as is a “profitable" return. These two fuzzy sets should have some overlap, but they should not be defined on an identical range. A = {"large" spenders}. B = {"profitable" clients}. For the two fuzzy sets shown in Figure P2.3, find the following properties graphically: 1.0 5000 10000 50000 100000 Figure P2.3 a. A UB: all clients deemed profitable or who are large spenders. b. AnB: all clients deemed profitable and large spenders. c. Ā and B: Those clients (i) deemed not profitable and (ii) deemed not large spenders (separately). d. AB: Entities deemed profitable clients but not large spenders. e. AUB=ANB (De Morgan's principle).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,