Definitions of assign:

• verb:   transfer one's right to
• verb:   give out or allot

  Example: "We were assigned new uniforms"

• verb:   select something or someone for a specific purpose

  Example: "The teacher assigned him to lead his classmates in the exercise"

• verb:   decide as to where something belongs in a scheme

  Example: "The biologist assigned the mushroom to the proper class"

• verb:   make undue claims to having
• verb:   attribute or give
• verb:   attribute or credit to
• verb:   give an assignment to (a person) to a post, or assign a task to (a person)