CS5611: Fuzzy Set Theory and Application
Homework 2
Due date: March. 21, 1997

1. (20%) Exercise 3 of Chapter 2. (You don't need to give proof to every identity. Just list those identities that are not satisfied any more, and give simple examples or explanations why they are not satisfied.)
2. (20%) Exercise 4 of Chapter 2. (You don't need to give proof to every identity. Just list those identities that are not satisfied any more, and give simple examples or explanations why they are not satisfied.)
3. (20%) Exercise 9 of Chapter 2.
4. (20%) Exercise 20 of Chapter 2.
5. Prove that the two equations in (2.50) (page 40) for the generalized DeMorgan's law are equivalent if the complement operator fulfills the involution requirement in Equation (2.38), page 35.
6. (20%) (a) and (c) of Exercise 21, Chapter 2. (You can use the result from the previous question of this homework.)

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