What is the difference between fuzzy logic and AI?

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As far as I know, "AI" is advanced programming while "fuzzy logic" is the theory of logic. "AI programming" is the practical use of "fuzzy logic". AI and fuzzy logic have more than one option to decide/choose, and the option that suits the user is more appropriate. Different options may be more right or more wrong for different users.

For example, if the question is "Who is the head of our country?" So according to the country in which this question is asked, different answers are given to this question. And instead of the word "chief", in any country, if a king or any other word is used, then even at that time logic should choose the most appropriate answer using its synonym.