Question

The truth values of traditional set theory is _________ and that of fuzzy set is ___________:

• A. \(\text{Either 0 or 1, between 0 \& 1} \)
• B. \(\text{Between 0 \& 1, either 0 or 1} \)
• C. \(\text{Between 0 \& 1, between 0 \& 1} \)
• D. \(\text{Either 0 or 1, either 0 or 1} \)

Hint:

Traditional set theory follows binary logic (0 or 1), while fuzzy set theory allows partial membership values between 0 and 1.

Answer 1

The Correct Option is A

Step 1: Understanding traditional vs. fuzzy set theory. 
- Traditional (crisp) set theory defines membership as either 0 (not a member) or 1 (member). 
- Fuzzy set theory allows membership values between 0 and 1, representing degrees of membership. 

Step 2: Selecting the correct option. Since traditional sets have discrete truth values (0 or 1) and fuzzy sets allow continuous values (between 0 and 1), the correct answer is a. Either 0 or 1, between 0 & 1.