Intersection of Two Sets
Returns the intersection of two objects inheriting from class Set.
setintersect(x, y) ## S3 method for class 'Interval' setintersect(x, y) ## S3 method for class 'ConditionalSet' setintersect(x, y) ## S3 method for class 'UnionSet' setintersect(x, y) ## S3 method for class 'ComplementSet' setintersect(x, y) ## S3 method for class 'ProductSet' setintersect(x, y) ## S3 method for class 'Set' x & y
x, y |
Set |
The intersection of two sets, X, Y, is defined as the set of elements that exist in both sets,
{z : z ε X and z ε Y}
In the case where no elements are common to either set, then the empty set is returned.
The intersection of two ConditionalSets is defined by combining their defining functions by an
'and', &, operator. See examples.
The intersection of fuzzy and crisp sets first coerces fuzzy sets to crisp sets by finding their support.
A Set consisting of elements in both x and y.
Other operators:
powerset(),
setcomplement(),
setpower(),
setproduct(),
setsymdiff(),
setunion()
# intersection of two sets
Set$new(-2:4) & Set$new(2:5)
setintersect(Set$new(1, 4, "a"), Set$new("a", 6))
Set$new(1:4) & Set$new(5:7)
# intersection of two intervals
Interval$new(1, 10) & Interval$new(5, 15)
Interval$new(1, 2) & Interval$new(2, 3)
Interval$new(1, 5, class = "integer") &
Interval$new(2, 7, class = "integer")
# intersection of mixed set types
Set$new(1:10) & Interval$new(5, 15)
Set$new(5, 7) & Tuple$new(6, 8, 7)
# Ignores membership of FuzzySet
FuzzySet$new(1, 0.1, 2, 0.5) & Set$new(2:5)
# intersection of conditional sets
ConditionalSet$new(function(x, y) x >= y) &
ConditionalSet$new(function(x, y) x == y)
ConditionalSet$new(function(x) x == 2) &
ConditionalSet$new(function(y) y == 3)
# But be careful not to make an empty set
ConditionalSet$new(function(x) x == 2) &
ConditionalSet$new(function(x) x == 3)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.