(a) Two discrete fuzzy sets are given by $A=\{1 / 2+0.5 / 3+0.3 / 4+0.2 / 5\}$ and $B=\{0.5 / 2+0.7 / 3=0.2 / 0.4=0.4 / 5\}$ Find complement, union, and intersection of the sets. Apply De Morgan's principle to the sets.
Explanation
To find the complement, union, and intersection of the sets, we need to apply the corresponding fuzzy set operations. The complement of a set A is denoted by $\bar{A}$ and is obtained by subtracting the membership values of A from 1. The union of two sets A and B is denoted by $A \cup B$ and is obtained by taking the maximum of the membership values of A and B at each point. The intersection of two sets A and B is denoted by $A \cap B$ and is obtained by taking the minimum of the membership values of A and B at each point. De Morgan's principle states that the complement of the union of two sets is equal to the intersection of their complements, and the complement of the intersection of two sets is equal to the union of their complements.
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