Question

Determine specificity of fuzzy set A whose membership function is expressed in the form A(x) =...

Determine specificity of fuzzy set A whose membership function is expressed in the
form
A(x) = max (1-0.2x2, 0)
Assume that the range is [0, 5].

Math   Advanced-Math   
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Homework Answers

Answer #1

Specificity :

1. Spec(A) = 1 iff there exist x0 belongs to A(x0) = 1, A(x) = 0 for all x != x0

2. Spec(A) = 0 iff A(x) = 0 for all x belongs to X

3. Spec(A1) =Spec(A2) if A1 subset A2

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