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7th Sep, 2022
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In our daily lives, you are not always able to make a decision by saying Yes or No. This is because you might face situations where there is not enough information to make a decision. Or, we may be a little confused ourselves. For example, if someone asks you whether you are available on a certain date next month, you probably won’t say Yes or No straight away. It’s because you are not completely sure that you won’t be busy on that very date next month.

Tricky isn’t it? Fuzzy Logic in artificial intelligence helps computers deal with similar situations where input data is a bit unclear.

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## Why Fuzzy Logic?

The following points imply the advantages of fuzzy logic controller.

•  Fuzzy logic is extensively used for practical and commercial purposes.
• It can control machines and consumer goods.
• It might not give precise reasoning, but acceptable reasoning.
•  It deals with the uncertainty in engineering

### Working of Fuzzy Logic:

Fundamentally, Fuzzy logic works on the sets. Various assumptions are used in the sets, and the output will be precisely obtained from the corresponding assumed values. The fundamental configuration used in the fuzzy logic is “if-else” sets.  Moreover, the precise answer will be attained from the input variations. The “if-else” considerations offer precise output value.

In the working of fuzzy logic in artificial intelligence, the inputs are categorized into various memberships to achieve the outputs. The “if-else” logic assigns inputs with the function of membership. Various input variables exist when employing fuzzy logic in multi-input systems. Hence, the system output will be calculated after implementing the AND operation on the provided input variables.

This logic works as a standard controller on a few platforms because it includes various parts like controller, Fuzzifier, and Defuzzifier. For example, the temperature control of the Automatic cooling system depends on the room temperature. Hence, various room temperatures are considered as input and the output is achieved through the fuzzy_logic that generates the controlled output.

The fuzzy logic controller’s working principle is that the output relies on the probability of the input’s state. It works on the output’s decision which is dependent on assumption. The fuzzy sets are used. Each set includes linguistic variables mentioning the state of the output.

Let’s understand fuzzy logic with an example. Suppose A is a subset of X and every member of A exists in the intervals 0 and 1. So, set A is called a fuzzy set. Its output depends on the degree of membership of X within the set. Moreover, the fuzzy sets are graphically represented using the membership function. Note that the output depends on the logic of AND operation of the input’s state and also the input’s rate of change.

## What is Fuzzy Logic?

The term Fuzzy means something that is a bit vague. When a situation is vague, the computer may not be able to produce a result that is True or False. As per Boolean Logic, the value 1 refers to True and 0 means False. But a Fuzzy Logic algorithm considers all the uncertainties of a problem, where there may be possible values besides True or False.

The fuzzy logic in artificial intelligence operates on the levels of possibilities of input to obtain the definite output. It can be executed in systems with different capabilities and sizes, varying from tiny microcontrollers to huge, networked, workstation-centred control systems. Furthermore, it can be executed in software, hardware, or a combination of both.

The term Fuzzy Logic was first described by Lotfi Zadeh in 1965. He thought that traditional computer logic is not capable of handling unclear or vague data. Similar to humans, there are many possible values between True and False that a computer can incorporate. These can be:

• Certainly yes
• Possibly yes
• Can’t say
• Possibly no
• Certainly no

Check out this simple example of Fuzzy Logic:

ProblemIs it hot outside?

#### Boolean Logic

Solution

• Yes (1.0)
• No (0)

According to conventional Boolean Logic, the algorithm will take a definite input and produce a precise result Yes or No. This is represented by 0 and 1, respectively.

#### Fuzzy Logic

Solution

• Very hot (0.9)
• Little hot (0.20)
• Moderately hot (0.35)
• Not hot (1.0)

As per the above example, Fuzzy Logic has a wider range of outputs, such as very hot, moderately hot and not hot. These values between 0 and 1 display the range of possibilities.

So, in cases where accurate reasoning cannot be provided, Fuzzy Logic provides an acceptable method of reasoning. An algorithm based on Fuzzy Logic takes all available data while solving a problem. It then takes the best possible decision according to the given input.

Understanding the process of a Fuzzy Logic System with an example:

Let’s understand the process of a Fuzzy Logic System with an example of an air conditioning system. The fuzzy logic AI system regulates the temperature depending on input parameters such as hot, warm, warm, cold, and cold.

The development process takes place in 5 steps as below:

1. Defining linguistics variables and terms for room temperature i.e. hot, warm, cold, etc.
2. Build membership functions of temperature variables using fuzzy logic in AI.

iii. Make a knowledge base rule incorporating the room temperature matrix and the required room temperature.

1. Obtain the fuzzy rule using fuzzy set operations and fuzzy logic AI.
2. Implementing defuzzification depends on the membership functions to obtain the output variable or the expected temperature.

Charles Elkan, Assistant Professor of the Computer Science and Engineering department at the University of California at San Diego, shed some light upon Fuzzy Logic. He said that Fuzzy Logic in artificial intelligence is a generalized form of standard logic, where any concept might have a truth degree ranging between 0.0 and 1.0. Fuzzy Logic can be used for vague concepts, such as the characteristic of tallness. For example, we can say that President Clinton is tall, and the concept can have a degree of truth of 0.9.

He further said that Fuzzy Logic is very useful in low-level machine control especially in consumer appliances. Some special-purpose microprocessors built on Fuzzy Logic perform fuzzy operations on their hardware.

Let us now understand Fuzzy Logic in artificial intelligence by looking at its architecture.

## Fuzzy Logic Architecture

The architecture of Fuzzy Logic consists of the following components:

### Rule base

This is the set of rules along with the If-Then conditions that are used for making decisions. But, modern developments in Fuzzy Logic have reduced the number of rules in the rule base. These set of rules are also called a knowledge base.

### Fuzzification

This is the step where crisp numbers are converted into fuzzy sets. A crisp set is a set of elements that have identical properties. Based on certain logic, an element can either belong to the set or not. Crisp sets are based on binary logic – Yes or No answers.

Here, the error signals and physical values are converted into a normalized fuzzy subset. In any Fuzzy Logic system, the fuzzifier separates the input signals into five states that are:

• Large positive
• Medium positive
• Small
• Medium negative
• Large negative

The fuzzification process converts crisp inputs, such as room temperature, fetched by sensors and passes them to the control system for further processing. A Fuzzy Logic control system is based on Fuzzy Logic. Common household appliances, such as air-conditioners and washing machines have Fuzzy Control systems within them.

### Inference Engine

The inference engine determines how much the input values and the rules match. The rules are applied based on the input values received. Then, the rules are used to develop control actions. The inference engine and the knowledge base together are called a controller in a Fuzzy Logic system.

### Defuzzification

This is the inverse process of fuzzification. Here, the fuzzy values are converted into crisp values by mapping. There will be several defuzzification methods for doing this, but the best one is selected as per the input. This is a complicated process where methods, such as the maximum membership principle, weighted average method and centroid method, are used.

## Advantages of Fuzzy Logic in Artificial Intelligence

The benefits of using Fuzzy Logic systems are as follows:

• It is a robust system where no precise inputs are required
• These systems are able to accommodate several types of inputs including vague, distorted or imprecise data
• In case the feedback sensor stops working, you can reprogram it according to the situation
• The Fuzzy Logic algorithms can be coded using less data, so they do not occupy a huge memory space
• As it resembles human reasoning, these systems are able to solve complex problems where ambiguous inputs are available and take decisions accordingly
• These systems are flexible and the rules can be modified
• The systems have a simple structure and can be constructed easily
• You can save system costs as inexpensive sensors can be accommodated by these systems
• It is easily understandable.
• It efficiently solves complex problems by enhancing its capability to accomplish human-like decision-making and reasoning tasks.
• It deals with uncertainties in engineering.
• The fuzzy logic’s flexibility makes it easier to adapt FLS by simply adding or deleting rules.con

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## Disadvantages of Fuzzy Logic in Artificial Intelligence

Let us look at the drawbacks of Fuzzy Logic systems:

• The accuracy of these systems is compromised as the system mostly works on inaccurate data and inputs
• There is no single systematic approach to solve a problem using Fuzzy Logic. As a result, many solutions arise for a particular problem, leading to confusion
• Due to inaccuracy in results, they are not always widely accepted
• A major drawback of Fuzzy Logic control systems is that they are completely dependent on human knowledge and expertise
• You have to regularly update the rules of a Fuzzy Logic control system
• These systems cannot recognize machine learning or neural networks
• The systems require a lot of testing for validation and verification

## Applications of Fuzzy Logic

The applications of Fuzzy Logic are spread across several fields. They are as follows:

### Medicine

• Controlling arterial pressure when providing anaesthesia to patients
• Used in diagnostic radiology  and diagnostic support systems
• Diagnosis of prostate cancer and diabetes

### Transportation systems

• Handling underground train operations
• Controlling train schedules
• Braking and stopping vehicles based on parameters, such as car speed, acceleration and wheel speed

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### Defence

• Locating and recognizing targets underwater
• Supports naval decision making
• Using thermal infrared images for target recognition
• Used for controlling hypervelocity interceptors

### Industry

• Controlling water purification plants
• Handling problems in constraint satisfaction in structural design
• Pattern analysis for quality assurance
• Fuzzy Logic is used for tackling sludge wastewater treatment

### Naval control

• Steer ships properly
• Selecting the optimal or best possible routes for reaching a destination
• Autopilot is based on Fuzzy Logic
• Autonomous underwater vehicles are controlled using Fuzzy Logic

Modern washing machines powered by Fuzzy Logic are becoming popular these days. They have sensors that continuously track variations in temperature. It adjusts the controls and operations accordingly. These systems perform well, and are productive and cost efficient.

For best wash results, Fuzzy Logic controls the washing process, water temperature, spin speed, wash time, water intake and rinse performance. Advanced machines do the following:

• Check the hardness of water and determine the type of cloth material
• Advises the user on the optimal amount of detergent. They also check whether the detergent is in liquid or powdered form
• They learn from previous washing experiences, and memorize algorithms to enhance the washing results

Most of the systems are based on energy-saving technology that helps you save power while washing clothes. These features help you save energy even if you wash lots of clothes 2 to 3 times a week. The sensors monitor the entire washing process, and make necessary adjustments and corrections for best washing outcomes.

Fuzzy Logic in these washing machines checks the amount of dirt and grime on clothes, the direction of the spin and the quantity of soap required. For better spinning, the washing load is properly balanced. In case an imbalance is detected, the spinning speed is decreased. Furthermore, balancing the washing load helps to reduce the spinning noise.

Companies such as Panasonic use similar technology in their dishwashers. Fuzzy Logic is used in adjusting the cleaning cycles of dishwashers, along with the wash and rinse methods. The performance of the machine also depends upon the number of dishes put into the washer.

Some more applications of Fuzzy Logic:

1. Automotive Systems: Using different technologies, including the Fuzzy Logic System, the automotive industry intends to improve vehicle quality. The fuzzy logic in AI uses them in the below areas:
• Preparing trainable fuzzy systems for idle speed regulation.
• Shift scheduling for supporting an automatic transmission.
• Enhancing the automatic transmission’s efficiency.
• Developing intelligent highway systems.
• Implementing and improving traffic control.
1. Business: Organizations globally are using the benefits of Fuzzy control for the below reasons:
• To design effective decision-making support systems.
• Personnel assessment in large-scale organizations.
1. Security: Fuzzy Logic Systems lays a profound impact on the security protocols and is quickly being employed in the following:
• Various security applications and products.
• Decision Systems for security training.
1. Finance: In the finance and banking field, the fuzzy system in artificial intelligence plays a key role in:
• Fund management.
• Fraud Prevention.
• Stock market predictions.
• Transfer control.
1. Electronics: The fuzzy logic system is being used in the electronics field to control:
• Air conditioning systems
• Automatic exposure in the video cameras
• Washing machine timing
• Humidity in rooms
1. Pattern Recognition & Classification: This sector is using the Fuzzy Logic System for:
• Fuzzy image search.
• Command analysis.
• Facial characteristics analysis.
• Speech and handwriting recognition.

Significance of Membership Function in Fuzzy Logic:

Membership functions (MFs) are the fundamental building blocks of the Fuzzy Set Theory which is used in the fuzzy logic controller. It plays a key role in the fuzzy representation’s performance. It portrays the fuzziness described using the fuzzy system in artificial intelligence and also depicts the amount of truth in the fuzzy logic.

It is a graph that specifies how each point in the input space is plotted to membership value ranging between 0 and 1. The Membership Functions’ key objective is to plot the non-fuzzy input values to the fuzzy linguistic terms, and vice versa.

Different types of membership functions are:

• Singleton Fuzzy Logic System.
• Trapezoidal.
• Gaussian Fuzzifier.
• Triangular Fuzzifier.

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## Conclusion

Although Fuzzy Logic in artificial intelligence helps to mimic human reasoning, these systems need expert guidance to be built. This lets you rely on the experience of experts who have a better understanding of the system. Fuzzy Logic can also be used for enhancing the execution of algorithms. IBM Watson uses Fuzzy Logic and fuzzy semantics.

Fuzzy logic assists in understanding how people will perform in a dynamic environment in an unidentified way and helps regulate machines, providing a range of adequate thinking that can happen as a subset of the human decision-making process.

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#### Kechit Goyal

Blog Author
Experienced Developer, Team Player and a Leader with a demonstrated history of working in startups. Strong engineering professional with a Bachelor of Technology (BTech) focused in Computer Science from Indian Institute of Technology, Delhi.
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1What are the applications of fuzzy logic in real life?

Fuzzy logic is used for the same applications as regular logic, but with the ability to handle inexact reasoning. Fuzzy logic’s main application is for artificial intelligence. Fuzzy logic is used in factory controllers and industrial software. Also, most modern appliances in the kitchen, home theatre and entertainment, air conditioning and heating, microwave, digital camera, refrigerator and TV, etc. use fuzzy logic. The system is a two-way street. It uses fuzzy logic to make intelligent decisions, but customers respond in fuzziness, too. So, in order to make the system more accurate, researchers apply fuzzy science on such devices.

2What are the limitations of fuzzy logic?

Fuzzy logic is a way to represent logical statements using real values instead of the conventional binary values. Fuzzy logic has two major limitations: the handling of imprecise data and the inherent inference of human thinking. Both these problems are related to each other. If the data is imprecise in the system, then a human being cannot infer the knowledge or relation. It is hoped that future research will lead to solving these problems.

3What are the benefits of fuzzy control?

Fuzzy control allows control based on the actual output from the process, as opposed to control based on a setpoint. This means that the output of a control loop is not fixed at a specific value, but is allowed to vary within a specific range. This gives better control than fixed-point control, especially in applications with a non-linear relationship between input and output.

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