In metallurgy, materials are made with mixtures of various metals and other elements to achieve certain desirable properties. In a particular preparation of steel, three elements, namely, iron, manganese, and carbon, are mixed in two different proportions. The samples obtained from these two different proportions are placed on a normalized scale, as shown in Figure P4.9 and are represented as fuzzy sets Aj and A2. You are interested in finding some sort of "average" steel proportion. For the logical union of the membership functions shown, we want to find the defuzzified quantity. For each of the seven methods presented in this chapter, assess (a) whether each is applicable and, if so, (b) calculate the defuzzified value, z".

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
icon
Related questions
Question
4.9. In metallurgy, materials are made with mixtures of various metals and other
elements to achieve certain desirable properties. In a particular preparation of steel,
three elements, namely, iron, manganese, and carbon, are mixed in two different
proportions. The samples obtained from these two different proportions are placed
on a normalized scale, as shown in Figure P4.9 and are represented as fuzzy sets
Aj and A2. You are interested in finding some sort of "average" steel proportion.
For the logical union of the membership functions shown, we want to find the
defuzzified quantity. For each of the seven methods presented in this chapter, assess
(a) whether each is applicable and, if so, (b) calculate the defuzzified value, z".
1
A1
0.5
0.5
A2
3
4
5
6.
3
4
5
(a)
(b)
FIGURE P4.9
Transcribed Image Text:4.9. In metallurgy, materials are made with mixtures of various metals and other elements to achieve certain desirable properties. In a particular preparation of steel, three elements, namely, iron, manganese, and carbon, are mixed in two different proportions. The samples obtained from these two different proportions are placed on a normalized scale, as shown in Figure P4.9 and are represented as fuzzy sets Aj and A2. You are interested in finding some sort of "average" steel proportion. For the logical union of the membership functions shown, we want to find the defuzzified quantity. For each of the seven methods presented in this chapter, assess (a) whether each is applicable and, if so, (b) calculate the defuzzified value, z". 1 A1 0.5 0.5 A2 3 4 5 6. 3 4 5 (a) (b) FIGURE P4.9
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 6 images

Blurred answer
Knowledge Booster
Approximation Algorithms
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
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)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education