ECE 6720 FUZZY CONTROL SYSTEMS
Fall 2008
Homework Assignment #4
Total: 70 pts.
Due 6:30pm, Tuesday, October 7, 2008
1. For the Lukasiewicz three-valued logic defined in Table 8.4 on Page 218, determine
the truth value of the following expression for all combinations of truth values of
logic variables a, b, and c (assume that negation ⎯a is defined by 1-a):
(⎯a ∧ b) ⇒ c (30 pts.)
2. Problem 11.8 on Page 326 of the Text. (20 pts.)
3. Problem 11.9 on Page 326 of the Text, but use the Zadeh’s implication (on Page
307 of the Text). Check your results (P2 included) to see that Theorem 11.6 holds.
(20
pts.)