QUIZ ON MEMBERSHIP FUNCTION

1. What Are The Gaussian Distribution Curves Also Known As?

Gaussyf and gauss2yf

Gaussxf and gauss2xf

Gaussmf and gauss2mf

Gaussrf and gauss2rf

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.

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.

2. What Is A Membership Function?

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 0 and 1

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

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.

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.

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

A=(x|x>6)

A=(y|y>6)

A=(x|x>16)

A=(y|y>6)

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.

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.

4. What Is The Triangle Function Also Known As?

Trimf

Trimg

Trinaglef

Triangle(f,g)

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.

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.

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

20

14

1

11

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.

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.

Quiz On Membership Function