Q8: Prove that following properties hold for fuzzy sets (i) Commutativity (ii) Associativity (iii) Distributivity (iv) Demorgan’s Law
Introduction Fuzzy set theory generalizes classical set theory by allowing degrees of membership. The following fundamental properties hold in fuzzy set theory, just like in classical set theory. These include commutativity, associativity, distributivity, and DeMorgan’s laws. (i) Commutativity Statement: A ∪ B = B ∪ A A ∩ B = B ∩ A Proof: Let […]