Support of a fuzzy set given below, within a universal set X is given as

2013

Support of a fuzzy set given below, within a universal set X is given as

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Definition: Support of a fuzzy set

The support of a fuzzy set = all elements whose membership value > 0

Support(A)={x∈X∣μA​(x)>0}

Element

Membership

x₁

0.2 > 0 ✔

x₂

0.15 > 0 ✔

x₃

0.9 > 0 ✔

x₄

0.95 > 0 ✔

x₅

0.15 > 0 ✔

Support(A)={x1​,x2​,x3​,x4​,x5​}

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