Question:
The truth values of traditional set theory is _________ and that of fuzzy set is ___________:
The truth values of traditional set theory is _________ and that of fuzzy set is ___________:
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Traditional set theory follows binary logic (0 or 1), while fuzzy set theory allows partial membership values between 0 and 1.
Updated On: Feb 27, 2025
- \(\text{Either 0 or 1, between 0 \& 1} \)
- \(\text{Between 0 \& 1, either 0 or 1} \)
- \(\text{Between 0 \& 1, between 0 \& 1} \)
- \(\text{Either 0 or 1, either 0 or 1} \)
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The Correct Option is A
Solution and Explanation
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.
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