What Is A Membership Function?

Is a curve that defines how each point in the input space is mapped to a membership value between 0 and 1

Is a curve that defines how each point in the input space is mapped to a membership value between 10 and 20

Is a curve that defines how each point in the input space is mapped to a membership value between 0 and 100

Is a curve that defines how each point in the input space is mapped to a membership value between 10 and 100

QUIZ ON MEMBERSHIP FUNCTION

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| By Screwtherules

Screwtherules

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Quizzes Created: 2 | Total Attempts: 10,179

Questions: 5 | Attempts: 85 | Updated: Sep 13, 2023

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Questions and Answers

1.

What Is A Membership Function?
- A.
  
  Is a curve that defines how each point in the input space is mapped to a membership value between 10 and 20
- B.
  
  Is a curve that defines how each point in the input space is mapped to a membership value between 0 and 100
- C.
  
  Is a curve that defines how each point in the input space is mapped to a membership value between 0 and 1
- D.
  
  Is a curve that defines how each point in the input space is mapped to a membership value between 10 and 100
Correct Answer
C. Is a curve that defines how each point in the input space is mapped to a membership value between 0 and 1

Explanation
A membership function is a curve that defines how each point in the input space is mapped to a membership value between 0 and 1. This means that for any given point in the input space, the membership function will assign a value between 0 and 1 to represent the degree of membership or belongingness of that point to a particular set or category. The closer the value is to 1, the stronger the membership, while a value closer to 0 indicates a weaker membership.

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2.

What Is A Classic Set The The Membership Function Can Be Expressed As?
- A.
  
  A=(x|x>6)
- B.
  
  A=(y|y>6)
- C.
  
  A=(x|x>16)
- D.
  
  A=(y|y>6)
Correct Answer
A. A=(x|x>6)

Explanation
The correct answer is A=(x|x>6). This is because the membership function is defined as A, and it represents a set of values for x where x is greater than 6. This means that any value of x that is greater than 6 belongs to the set A.

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3.

How Many Built In Function Types Are There In Fuzzy Logical Toolbox?
- A.
  
  20
- B.
  
  14
- C.
  
  1
- D.
  
  11
Correct Answer
D. 11

Explanation
The correct answer is 11. The Fuzzy Logic Toolbox in MATLAB has 11 built-in function types. These function types are used to define the membership functions that represent fuzzy sets and to perform various fuzzy logic operations such as fuzzy inference and defuzzification. These function types include triangular, trapezoidal, Gaussian, bell-shaped, and singleton functions, among others. Each function type has its own unique shape and parameters that can be customized to fit the specific fuzzy logic problem at hand.

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4.

What Is The Triangle Function Also Known As?
- A.
  
  Trimf
- B.
  
  Trimg
- C.
  
  Trinaglef
- D.
  
  Triangle(f,g)
Correct Answer
A. Trimf

Explanation
The correct answer is "trimf." The triangle function, also known as trimf, is a membership function commonly used in fuzzy logic. It represents a triangular shape, with a gradual increase from a minimum value to a peak value and then a gradual decrease back to the minimum value. This function is often used to model uncertain or imprecise data in various fields, such as control systems and decision-making processes.

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5.

What Are The Gaussian Distribution Curves Also Known As?
- A.
  
  Gaussyf and gauss2yf
- B.
  
  Gaussxf and gauss2xf
- C.
  
  Gaussmf and gauss2mf
- D.
  
  Gaussrf and gauss2rf
Correct Answer
C. Gaussmf and gauss2mf

Explanation
The Gaussian distribution curves are also known as gaussmf and gauss2mf. These terms are commonly used to refer to the curves that represent the probability density function of a Gaussian distribution. The "mf" in these terms stands for "membership function," which is a mathematical function that describes the degree of membership of a given value to a particular set. Therefore, gaussmf and gauss2mf are the correct names for the Gaussian distribution curves.

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Current Version
Sep 13, 2023

Quiz Edited by
ProProfs Editorial Team
Mar 24, 2007

Quiz Created by
Screwtherules

Quiz On Membership Function

What Is A Membership Function?

What Is A Classic Set The The Membership Function Can Be Expressed As?

How Many Built In Function Types Are There In Fuzzy Logical Toolbox?

What Is The Triangle Function Also Known As?

What Are The Gaussian Distribution Curves Also Known As?