What is the difference between Docker commands: up, run and start?

We have up and start commands in docker-compose. The run command is in docker.

1. Up: We use this command to build, create, start or restart all the services in a docker-compose.yml file. It also attaches to containers for a service. This command can also start linked services.
2. Run: We use this command for ad-hoc requests. It just starts the service that we specifically want to start. We generally use it to run specific tests or any administrative tasks.
3. Start: This command is used to start the container that was previously created but is not currently running. This command does not create new containers.