Comparator和Comparable的区别，Set＜Object＞按姓名排序的两种方式

在网上查了很多资料，对于Comparator和Comparable的区别，总是看不太懂，有些特别的深奥；对于Comparator和Comparable的区别我是这样理解的：使用的是Comparator，业务方自定义排序的规则，也就是外部调用类，自定义排序规则；使用的是Comparable，Comparable是本身固定这种排序规则；如果不对，或者有补充，请务必告诉我，蟹蟹。
下面是代码，分别就Comparator和Comparable对类按照姓名进行排序

package chapter9;

import java.util.Comparator;
import java.util.Set;
import java.util.TreeSet;

public class TestMain {
    public static void main(String[] args) {
        
        Set t_compaptors=new TreeSet<>(new Comparator() {
            @Override
            public int compare(T_Compaptor o1, T_Compaptor o2) {
                return (o1.getName().compareTo(o2.getName()));
            }
        });
        t_compaptors.add(new T_Compaptor("jack", 32));
        t_compaptors.add(new T_Compaptor("tom", 22));
        t_compaptors.add(new T_Compaptor("mary", 35));
        t_compaptors.add(new T_Compaptor("tim", 11));
        t_compaptors.add(new T_Compaptor("tony", 49));
        t_compaptors.add(new T_Compaptor("dd", 30));
        System.out.println(t_compaptors);


        
        System.out.println("---------------------------");
        Set t_comparables=new TreeSet<>();
        t_comparables.add(new T_Comparable("jack", 32));
        t_comparables.add(new T_Comparable("tom", 22));
        t_comparables.add(new T_Comparable("mary", 35));
        t_comparables.add(new T_Comparable("tim", 11));
        t_comparables.add(new T_Comparable("tony", 49));
        t_comparables.add(new T_Comparable("dd", 30));
        System.out.println(t_comparables);

    }
}
class T_Compaptor{
    String name;
    int age;
    public T_Compaptor(){}
    public T_Compaptor(String name,int age){
        this.name=name;
        this.age=age;
    }
    public String getName() {
        return name;
    }

    public void setName(String name) {
        this.name = name;
    }

    public int getAge() {
        return age;
    }

    public void setAge(int age) {
        this.age = age;
    }

    @Override
    public String toString() {
        return "T_Compaptor{" +
                "name='" + name + ''' +
                ", age=" + age +
                '}';
    }
}
class T_Comparable implements Comparable{

    private String name;
    private int age;


    public T_Comparable(String name,int age){
        this.name=name;
        this.age=age;
    }
    public String getName() {
        return name;
    }

    public void setName(String name) {
        this.name = name;
    }

    public int getAge() {
        return age;
    }

    public void setAge(int age) {
        this.age = age;
    }

    @Override
    public String toString() {
        return "T_Comparable{" +
                "name='" + name + ''' +
                ", age=" + age +
                '}';
    }

    @Override
    public int compareTo(T_Comparable o) {

        return this.getName().compareTo(o.getName());
    }
}