Using qualitative data in multiple objective linear programming

In this paper the authors consider the problem of incorporating qualitative data in multiple objective linear programming. They show how the wieght assessment technique in the Analytic Hierarchy Process (AHP) can be utilized in multiple objective linear programming, when only qualitative (subjective, judgemental) data is available. Using the AHP, the authors first quantify the qualitative relationships between the row variables and the decision variables for the present model. The row variables may have the status of an objective function or a constraint. Then the authors apply their visual and dynamic decision support system called VIG for solving the resulting multiple objective linear programming problem. They develop the approach and describe an application to strategic management.