I created the loss() , win() and draw() function to change the score following the events .The problem is that they are not getting called in the while loop to change the score and set it correctly. I had the score lines under every if and elif statement but decided to use a function to make the code shorter and more efficient.
    from random import randint
    print("Welcome to this game of rock paper scissors against the computer.")
    print("Good luck and have fun! Enjoy this game! ")
    print("To stop playing, type quit when the round ends.If you want to continue playing, press any key ")
    scoreH=0
    scoreAI=0
    Round=0
   def loss():
        scoreH=scoreH+0
        scoreAI=scoreAI+1
    def win():
        scoreH=scoreH+1
        scoreAI=scoreAI+0
    def draw():
        scoreH=scoreH+0
        scoreAI=scoreAi+0        
    x=True
    while x == True :
        # Choice
        Round=Round+1
        print("Round",Round,"is going to start. ")
        print("1.Rock")
        print("2.Paper")
        print("3.Scissors")
        choice=input("Enter your choice: ").lower()
        IntChoice=randint(1,3)
        #Transforming AI_choice from an int to a string 
        if IntChoice == 1:
            AI_choice="rock"
        elif IntChoice == 2:
            AI_choice="paper"
        elif IntChoice == 3:
            AI_choice="scissors"
        print(AI_choice)
        # Draw
        if choice==AI_choice:
            draw()
            print("The computer chose",choice,".You draw.")
        # PlayerWins
        elif choice=="paper" and AI_choice=="rock":
            win()
            print("The computer chose",choice,".You win.")
        elif choice=="scissors" and AI_choice=="paper":
            win()
            print("The computer chose",AI_choice,".You win.")
        elif choice=="rock" and AI_choice=="scissors":
            win()
            print("The computer chose",AI_choice,".You win.")
        # AIwins
        elif AI_choice=="paper" and choice=="rock":
            loss()
            print("The computer chose",AI_choice,".You lose.")
        elif AI_choice=="scissors" and choice=="paper":
            loss()
            print("The computer chose",AI_choice,".You lose.")
        elif AI_choice=="rock" and choice=="scissors":
            loss()
            print("The computer chose",AI_choice,".You lose.")
        else:
            print("Invalid input.")
            continue
        end=input()
        # Stop Playing
        if end == "stop" or end == "quit":
            print("The score is :",scoreH,"-",scoreAI)
            if scoreH > scoreAI:
                print("You win.")
            elif scoreH < scoreAI:
                print("You lose.")
            else:
                print("You draw.")
            break
        else:
            continue
 
     
     
    