What I am supposed to write in this question about fuzzy logic?

[shivajikobardan]

There are 2 questions commonly asked(rarely though) in my exams.

1) Explain about mamdani fuzzy inference method with example.


2) explain fuzzy inference with suitable example.


Now I am self studying. I have 4 books with me, but none of them have this content. IDK why tho..There are other details but not about thse 2 questions. Can you just guide me what I am supposed to write here? A framework about what to write would be more than helpful to me.

 

[MathLover1]

I hope this will help:


Fuzzy Logic Toolbox™ software supports two types of fuzzy inference systems:
Mamdani and Sugeno Fuzzy Inference Systems

Mamdani: Advantages
Intuitive
Well-suited to human input
More interpretable rule base
Have widespread acceptance

Sugeno: Advantages

Computationally efficient
Work well with linear techniques, such as PID control
Work well with optimization and adaptive techniques
Guarantee output surface continuity
Well-suited to mathematical analysis

1. The inference process of a Mamdani system is described in Fuzzy Inference Process and summarized in the following figure.

The output of each rule is a fuzzy set derived from the output membership function and the implication method of the FIS. These output fuzzy sets are combined into a single fuzzy set using the aggregation method of the FIS. Then, to compute a final crisp output value, the combined output fuzzy set is defuzzified using one of the methods described in Defuzzification Methods.

An example of a Mamdani inference system is:

2) explain fuzzy inference with suitable example.

Some fuzzy conditional statements can be interpreted as “ fuzzy inference statements,” which are particular cases of fuzzy unconditional action statements. Consider, for instance, the fuzzy conditional statement:
“If x is P , then go to L 1 else go to L 2” with L 1: y ← Q and L 2: y ← R , where P, Q, R are fuzzy on the universes of x, y , and y , respectively.


Fuzzy logic is an approach to computing based on "degrees of truth" rather than the usual "true or false" (1 or 0) Boolean logic on which the modern computer is based.

where is used

 

[nycmathguy]

I hope this will help:


Fuzzy Logic Toolbox™ software supports two types of fuzzy inference systems:
Mamdani and Sugeno Fuzzy Inference Systems

Mamdani: Advantages
Intuitive
Well-suited to human input
More interpretable rule base
Have widespread acceptance

Sugeno: Advantages

Computationally efficient
Work well with linear techniques, such as PID control
Work well with optimization and adaptive techniques
Guarantee output surface continuity
Well-suited to mathematical analysis

1. The inference process of a Mamdani system is described in Fuzzy Inference Process and summarized in the following figure.

The output of each rule is a fuzzy set derived from the output membership function and the implication method of the FIS. These output fuzzy sets are combined into a single fuzzy set using the aggregation method of the FIS. Then, to compute a final crisp output value, the combined output fuzzy set is defuzzified using one of the methods described in Defuzzification Methods.

An example of a Mamdani inference system is:

2) explain fuzzy inference with suitable example.

Some fuzzy conditional statements can be interpreted as “ fuzzy inference statements,” which are particular cases of fuzzy unconditional action statements. Consider, for instance, the fuzzy conditional statement:
“If x is P , then go to L 1 else go to L 2” with L 1: y ← Q and L 2: y ← R , where P, Q, R are fuzzy on the universes of x, y , and y , respectively.


Fuzzy logic is an approach to computing based on "degrees of truth" rather than the usual "true or false" (1 or 0) Boolean logic on which the modern computer is based.

where is used

What math course?

 

[MathLover1]

What math course?

computer scient
Fuzzy Logic used by computer scientists.
Imagine tossing your laundry into a "fuzzy" washing machine, pushing a button, and leaving the machine to do the rest, from measuring out detergent to choosing a wash temperature. Imagine a microwave oven that watches over meals with more sensitivity than a human cook. Imagine a subway system that stops and starts so smoothly that passengers don't bother holding on to straps.

 

[nycmathguy]

computer scient
Fuzzy Logic used by computer scientists.
Imagine tossing your laundry into a "fuzzy" washing machine, pushing a button, and leaving the machine to do the rest, from measuring out detergent to choosing a wash temperature. Imagine a microwave oven that watches over meals with more sensitivity than a human cook. Imagine a subway system that stops and starts so smoothly that passengers don't bother holding on to straps.

Wow! I think I will just stick to precalculus through multivariable calculus. No need for me to go beyond calculus, especially since math is just a hobby at this stage in my life. I will be 57 in April. No need for advanced mathematics. By this I don't mean that calculus is easy.