## Discussion Forum

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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