Operations on crisp sets

Similar to the mathematical numerals, we can perform certain operations on crisp sets:

  • Union: A ∪ B = {x | x ∈ A OR x ∈ B}
  • Intersection: A ∩ B = {x | x ∈ A AND x ∈ B }
  • Complement: Ā = { x | x ∉ A, x ∈ X }
  • Difference: A - B = A | B = {x | x ∉ A and x ∉ B} ==> A - (A ∩ B)

This is how we we represent these operations:

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