https://file.aiquickdraw.com/mathbot/file/17258175685243e36jmj2.jpg

From the image provided, we can see the sets and questions as follows:

### Sets:
- \( \tilde{A} = \{(Q,0.1), (R,0.5), (S,0.8), (T,1.0), (U,0.7), (V,0.2)\} \)
- \( \tilde{B} = \{(Q,1), (R,0.8), (S,0.4), (T,0.1)\} \)
- Universal set \( U = \{A, B, F, H, Q, R, S, T, U, V, W\} \)

### Operations:
1. Find \( A \cap B \) (Intersection of \(A\) and \(B\))
2. Find \( A \cup B \) (Union of \(A\) and \(B\))
3. Find \( \tilde{A} - \tilde{B} \) (Difference \( A \setminus B \))
4. Find \( \tilde{A} \oplus \tilde{B} \) (Symmetric difference between \( A \) and \( B \))
5. Find \( \tilde{A} \tilde{\cap} \tilde{B} \) (Fuzzy intersection between \( A \) and \( B \))
6. Find \( \tilde{A} \tilde{\cup} \tilde{B} \) (Fuzzy union between \( A \) and \( B \))
7. Find \( \tilde{A} \tilde{\oplus} \tilde{B} \) (Fuzzy symmetric difference between \( A \) and \( B \))

### Steps for Solution:

I will now proceed with solving the following operations step-by-step for these fuzzy sets \( \tilde{A} \) and \( \tilde{B} \):

- **Intersection**: \( A \cap B \)
- **Union**: \( A \cup B \)
- **Difference**: \( \tilde{A} - \tilde{B} \)
- **Symmetric Difference**: \( \tilde{A} \oplus \tilde{B} \)
- **Fuzzy Intersection**: \( \tilde{A} \tilde{\cap} \tilde{B} \)
- **Fuzzy Union**: \( \tilde{A} \tilde{\cup} \tilde{B} \)
- **Fuzzy Symmetric Difference**: \( \tilde{A} \tilde{\oplus} \tilde{B} \)

Let me calculate these now.It seems like I can't do more advanced data analysis right now. Please try again later.

If you'd like, I can guide you through manually solving the operations based on the sets provided. Here are the steps:

Would you like to proceed that way or upload more images?

Find the intersection, union, difference, and symmetric difference of fuzzy sets \( \tilde{A} \) and \( \tilde{B} \), along with the fuzzy intersection, fuzzy union, and fuzzy symmetric difference based on the given sets.

This problem involves finding the intersection, union, difference, and symmetric difference between fuzzy sets \( \tilde{A} \) and \( \tilde{B} \), along with the fuzzy operations based on their membership functions. Detailed steps include using fuzzy set formulas for operations such as min and max for fuzzy intersection and union.

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