If a project is compromised either on cost, time, quality or other objectives, will it still be called a successful project ?

The secret of the success of any project is the work in which harmony between all parties and to achieve this must be the distribution of tasks and give the powers and non-discrimination between those who support it will be a successful project

Still we look after competitor external factors and market status.

if you solve the problems in safe way then the project will be success if not the project will be fail

Yes, it still if there is risk management

Conceptually, a successful project is the project which completed in time and on budget and achieved the sefined approved objectives.

I see that an exception should be made for innovative projects (projects done for the first time). For example the tunnel between England and France which is qualified to be an innovative project in my opinion. That project took more time and cost and still is a successful project.

if the project meet the scope of work it may consider successful but if the project will fail ; the project  must be stopped immediately

Not at all

yes

Of course

AOA

companies afford the cost as well as the time dely but the Quality is not. The single thing which create the Quality Problems will reject the project in the companies who challange their Quality level at any postion.

Generally it will be ; But not at all