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FUZZY LOGIC
Shane Warren
Brittney Ballard
OVERVIEW


What is Fuzzy Logic?



Where did it begin?



Fuzzy Logic vs. Neural Networks



Fuzzy Logic in Control Systems



Fuzzy Logic in Other Fields



Future
WHAT IS FUZZY LOGIC?


Definition of fuzzy
 Fuzzy



– “not clear, distinct, or precise; blurred”

Definition of fuzzy logic
A

form of knowledge representation suitable for

notions that cannot be defined precisely, but which
depend upon their contexts.
TRADITIONAL REPRESENTATION
OF LOGIC

Slow
Speed = 0

Fast
Speed = 1

bool speed;
get the speed
if ( speed == 0) {
// speed is slow
}
else {
// speed is fast
}
FUZZY LOGIC REPRESENTATION




For every problem
must represent in
terms of fuzzy sets.
What are fuzzy
sets?

Slowest
[ 0.0 – 0.25 ]

Slow
[ 0.25 – 0.50 ]

Fast
[ 0.50 – 0.75 ]

Fastest
[ 0.75 – 1.00 ]
FUZZY LOGIC REPRESENTATION
CONT.

Slowest

Slow

Fast

float speed;
get the speed
if ((speed >= 0.0)&&(speed < 0.25)) {
// speed is slowest
}
else if ((speed >= 0.25)&&(speed < 0.5))
{
// speed is slow
}
else if ((speed >= 0.5)&&(speed < 0.75))
{
// speed is fast
}
else // speed >= 0.75 && speed < 1.0
{
// speed is fastest
}

Fastest
ORIGINS OF FUZZY LOGIC


Traces back to Ancient Greece



Lotfi Asker Zadeh ( 1965 )
 First



to publish ideas of fuzzy logic.

Professor Toshire Terano ( 1972 )
 Organized

the world's first working group on fuzzy

systems.


F.L. Smidth & Co. ( 1980 )
 First

to market fuzzy expert systems.
FUZZY LOGIC VS. NEURAL
NETWORKS


How does a Neural Network work?



Both model the human brain.





Fuzzy Logic
Neural Networks

Both used to create behavioral
systems.
FUZZY LOGIC IN CONTROL
SYSTEMS


Fuzzy Logic provides a more efficient and
resourceful way to solve Control Systems.



Some Examples
 Temperature
 Anti

Controller

– Lock Break System ( ABS )
TEMPERATURE CONTROLLER


The problem
 Change

the speed of a heater fan, based off the room
temperature and humidity.



A temperature control system has four settings
 Cold,



Humidity can be defined by:
 Low,



Cool, Warm, and Hot
Medium, and High

Using this we can define
the fuzzy set.
BENEFITS OF USING FUZZY LOGIC
ANTI LOCK BREAK SYSTEM ( ABS )
Nonlinear and dynamic in nature
 Inputs for Intel Fuzzy ABS are derived from


 Brake
4

WD
 Feedback
 Wheel speed
 Ignition


Outputs
 Pulsewidth
 Error

lamp
FUZZY LOGIC IN OTHER FIELDS


Business



Hybrid Modeling



Expert Systems
CONCLUSION


Fuzzy logic provides an alternative way to
represent linguistic and subjective attributes of
the real world in computing.



It is able to be applied to control systems and
other applications in order to improve the
efficiency and simplicity of the design process.
Fuzzy logic

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Fuzzy logic

  • 2. OVERVIEW  What is Fuzzy Logic?  Where did it begin?  Fuzzy Logic vs. Neural Networks  Fuzzy Logic in Control Systems  Fuzzy Logic in Other Fields  Future
  • 3. WHAT IS FUZZY LOGIC?  Definition of fuzzy  Fuzzy  – “not clear, distinct, or precise; blurred” Definition of fuzzy logic A form of knowledge representation suitable for notions that cannot be defined precisely, but which depend upon their contexts.
  • 4. TRADITIONAL REPRESENTATION OF LOGIC Slow Speed = 0 Fast Speed = 1 bool speed; get the speed if ( speed == 0) { // speed is slow } else { // speed is fast }
  • 5. FUZZY LOGIC REPRESENTATION   For every problem must represent in terms of fuzzy sets. What are fuzzy sets? Slowest [ 0.0 – 0.25 ] Slow [ 0.25 – 0.50 ] Fast [ 0.50 – 0.75 ] Fastest [ 0.75 – 1.00 ]
  • 6. FUZZY LOGIC REPRESENTATION CONT. Slowest Slow Fast float speed; get the speed if ((speed >= 0.0)&&(speed < 0.25)) { // speed is slowest } else if ((speed >= 0.25)&&(speed < 0.5)) { // speed is slow } else if ((speed >= 0.5)&&(speed < 0.75)) { // speed is fast } else // speed >= 0.75 && speed < 1.0 { // speed is fastest } Fastest
  • 7. ORIGINS OF FUZZY LOGIC  Traces back to Ancient Greece  Lotfi Asker Zadeh ( 1965 )  First  to publish ideas of fuzzy logic. Professor Toshire Terano ( 1972 )  Organized the world's first working group on fuzzy systems.  F.L. Smidth & Co. ( 1980 )  First to market fuzzy expert systems.
  • 8. FUZZY LOGIC VS. NEURAL NETWORKS  How does a Neural Network work?  Both model the human brain.    Fuzzy Logic Neural Networks Both used to create behavioral systems.
  • 9. FUZZY LOGIC IN CONTROL SYSTEMS  Fuzzy Logic provides a more efficient and resourceful way to solve Control Systems.  Some Examples  Temperature  Anti Controller – Lock Break System ( ABS )
  • 10. TEMPERATURE CONTROLLER  The problem  Change the speed of a heater fan, based off the room temperature and humidity.  A temperature control system has four settings  Cold,  Humidity can be defined by:  Low,  Cool, Warm, and Hot Medium, and High Using this we can define the fuzzy set.
  • 11. BENEFITS OF USING FUZZY LOGIC
  • 12. ANTI LOCK BREAK SYSTEM ( ABS ) Nonlinear and dynamic in nature  Inputs for Intel Fuzzy ABS are derived from   Brake 4 WD  Feedback  Wheel speed  Ignition  Outputs  Pulsewidth  Error lamp
  • 13. FUZZY LOGIC IN OTHER FIELDS  Business  Hybrid Modeling  Expert Systems
  • 14. CONCLUSION  Fuzzy logic provides an alternative way to represent linguistic and subjective attributes of the real world in computing.  It is able to be applied to control systems and other applications in order to improve the efficiency and simplicity of the design process.