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Que. The height h(A) of a fuzzy set A is defined as

h(A) = sup A(x)
a. h(A) = 0
b. h(A) <0
c. h(A)=1
d. h(A)<1
Answer:h(A)=1
Sathish :(April 22, 2023) height of a fuzzy set A is defined as the supremum (or maximum) of its membership degrees over its support set, i.e.,

h(A) = sup {A(x) : x belongs to the support set of A}

In other words, the height of a fuzzy set A is the highest membership degree of any element in its support set. This gives a measure of the degree of membership of the fuzzy set A as a whole, with higher values indicating a greater degree of membership.
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