3.6. The relationship between temperature and maximum operating frequency R depends on various factors for a given electronic circuit. Let T be a temperature fuzzy set (in degrees Fahrenheit) and F represent a frequency fuzzy set (in megahertz) on the following universes of discourse: T = {-100, -50, 0, 50, 100} and F= {8, 16, 25, 33}. Suppose a Cartesian product between T and F is formed, which results in the following relation: -100 -50 0 50 100 8 0.2 0.5 0.7 1 0.9 16 0.3 0.5 0.7 1 0.8 R = 25 0.4 0.6 0.8 0.9 0.4 33 0.9 0.8 0.6 0.4 The reliability of the electronic circuit is related to the maximum operating tem- perature. Such a relation S can be expressed as a Cartesian product between the reliability index, M {1, 2, 4, 8, 16} (in dimensionless units), and the temperature, as in the following example: 1 2 0.8 0.6 0.3 0.1 4 8 16 -100 r 1 -50| 0.7 0 0.5 0.6 50 0.3 0.4 0.6 100 L0.9 0.3 0.5 0.7 1 0.7 0.5 0.4 S = 1 0.8 0.8 1 0.9 1 Composition can be performed on any two or more relations with compatible row-column consistency. To find a relationship between frequency and the reli- ability index, use (a) max-min composition
3.6. The relationship between temperature and maximum operating frequency R depends on various factors for a given electronic circuit. Let T be a temperature fuzzy set (in degrees Fahrenheit) and F represent a frequency fuzzy set (in megahertz) on the following universes of discourse: T = {-100, -50, 0, 50, 100} and F= {8, 16, 25, 33}. Suppose a Cartesian product between T and F is formed, which results in the following relation: -100 -50 0 50 100 8 0.2 0.5 0.7 1 0.9 16 0.3 0.5 0.7 1 0.8 R = 25 0.4 0.6 0.8 0.9 0.4 33 0.9 0.8 0.6 0.4 The reliability of the electronic circuit is related to the maximum operating tem- perature. Such a relation S can be expressed as a Cartesian product between the reliability index, M {1, 2, 4, 8, 16} (in dimensionless units), and the temperature, as in the following example: 1 2 0.8 0.6 0.3 0.1 4 8 16 -100 r 1 -50| 0.7 0 0.5 0.6 50 0.3 0.4 0.6 100 L0.9 0.3 0.5 0.7 1 0.7 0.5 0.4 S = 1 0.8 0.8 1 0.9 1 Composition can be performed on any two or more relations with compatible row-column consistency. To find a relationship between frequency and the reli- ability index, use (a) max-min composition
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question

Transcribed Image Text:/3.6. The relationship between temperature and maximum operating frequency R depends
on various factors for a given electronic circuit. Let T be a temperature fuzzy set
(in degrees Fahrenheit) and F represent a frequency fuzzy set (in megahertz) on the
following universes of discourse:
T= {-100,-50, 0, 50, 100} and F= (8, 16, 25, 33}.
Suppose a Cartesian product between T and F is formed, which results in the
following relation:
-100 -50
50
100
8.
0.2
0.5
0.7
0.9
16
R =
25
0.3
0.5
0.7
1
0.8
0.4
0.6
0.8
0.9
0.4
33
0.9
1
0.8 0.6
0.4
The reliability of the electronic circuit is related to the maximum operating tem-
perature. Such a relation S can be expressed as a Cartesian product between the
reliability index, M {1, 2, 4, 8, 16} (in dimensionless units), and the temperature,
as in the following example:
1
2
4
8.
16
-100
1
0.8 0.6 0.3 0.1
-50 | 0.7
0.5 0.6
0.7 0.5 0.4
0.8 0.8
1
S =
1
50 0.3 0.4 0.6
100 L0.9 0.3 0.5 0.7
1
0.9
1
Composition can be performed on any two or more relations with compatible
row-column consistency. To find a relationship between frequency and the reli-
ability index, use
(a) max-min composition
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 3 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON

Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning

Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education