The **set **extends the Collection interface and is included in Java.util package. It is an unordered collection of objects that cannot store duplicate values. It is a mathematical set implementation interface. This interface inherits the Collection interface's methods and adds a feature preventing identical elements' insertion. SortedSet and NavigableSet are two interfaces that expand the set implementation.

- The navigable set interface extends the sorted set interface in the illustration above.
- Because a set does not keep its insertion order, the navigable set interface provides an implementation for traversing the Set.
- The navigable Set is implemented by a TreeSet, which implements a self-balancing tree. As a result, this interface allows us to traverse across this tree.

## Example:

```
package week1.day2;
import java.util.LinkedHashSet;
import java.util.Set;
public class Calculator {
public static void main(String[] args) {
Set<String> showName = new LinkedHashSet<String>();
showName.add("One");
showName.add("Piece");
System.out.println(showName);
}
}
```

- Here is an example of a Set.
- We created a linked HashSet using a set.

**Output:**

`[One, Piece]`

## Set Interface Operation

We can do all basic mathematical operations on the Set, such as intersection, union, and difference.

Consider the following two sets:** set1 = [2,5,3,7,8]** and **set2 = [2,7,4,9,1]**. On the Set, we can do the subsequent operation:

**Intersection:**The intersection operation returns all elements that appear in both sets. Set1 and set2 will intersect at [2,7].**Union:**The union operation returns all elements of sets 1 and 2 in a single set, which can be set1 or set2. The sum of sets 1 and 2 is [1,2,3,4,5,7,8,9].**Difference:**The difference operation removes any values present in another set from the set. The difference between sets 1 and 2 is [5,3,8,4,9,1].

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