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FUZZY LOGIC (Application Areas (Environment Control: air conditioner,…
FUZZY LOGIC
Application Areas
Environment Control: air conditioner, heater
Consumer Electronic Goods: video camera, televison
Domestic Goods: microwave ovens, vaccum cleaner, washing machine
Automotive System: automatic gearboxes, four-wheel steering, vehicle environment control
Defination
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a superset of Boolean (conventional) logic that handles the concept of partial truth, which is truth values between "completely true" and "completely false".
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History
Jan Lukasiewicz proposed three-valued logic: True, False and Possible
Loffti Zadeh published his paper on fuzzy logic-a part of set theory that operated over the range [0.0-1.0]
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Crisp Set
Classical set theory enumerates all element using A= {a1,a2,a3,.......an}
Set A can be represented by characteristic function µa(x)= {1 if element x belong to set to the set A 0 otherwise}
Fuzzy Set
In fuzzy set theory elements have varying degrees of membership. A fuzzy set can be represented by A={{x, A(x)}} is the membership grade of a element x in fuzzy set.