fuzzy set operations

Fuzzy Set Operation
Given X to be the universe of discourse and à and toḂ
be fuzzy sets with µA(x) and µB(x) are their res...
Fuzzy Set Operation (Continue)
Example:
A = {(x1,0.5),(x2,0.7),(x3,0)} B = {(x1,0.8),(x2,0.2),(x3,1)}
Union:
A U B = {(x1,...
Fuzzy Set Operation (Continue)
Example:
A = {(x1,0.5),(x2,0.7),(x3,0)} B = {(x1,0.8),(x2,0.2),(x3,1)}
Intersection:
A ∩ B ...
Fuzzy Set Operation (Continue)
Example:
A = {(x1,0.5),(x2,0.7),(x3,0)}
Complement:
Ac
= {(x1,0.5),(x2,0.3),(x3,1)}
Because...
• Support(A) is set of all points x in X such that
{(x∣ µA
(x) > 0 }
• core(A) is set of all points x in X such that
{(x∣ ...
Support
1.0
µ
0.0
Core
Lower
Boundary
Upper
Boundary

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