A Proposal to Determine Weights for Solving Multi-Objective Programming Problems

Güzel N., Demirel Y.

4th International Conference on Pure and Applied Sciences: Renewable Energy, İstanbul, Turkey, 23 - 25 November 2017, vol.1

  • Publication Type: Conference Paper / Summary Text
  • Volume: 1
  • City: İstanbul
  • Country: Turkey
  • Yıldız Technical University Affiliated: Yes



It seems that most approaches to the solution of multi-objective linear or non-linear programming problems, except fuzzy approaches, take into account the knowledge, experience or preferences of the decision maker. In this case, decision maker gives weights to every objectives and multi-objective programming is reduced to a single-purpose programming problem with the sum of weights. Appropriate solutions are selected by the decision maker from the optimal solutions obtained by solving the single-objective programming problem. In many cases however decision makers can’t determine weights when uncertainty exist in information or decision maker can compare their weights that  determined to weights that calculated by proposed in this study. Determining the weights can be a separate problem .

In this study, in order to solve the multi-objective programming problem, we have proposed an approach that determines weights of objectives to lead the way to the decision maker preferences. We have given through-provoking examples for the effectiveness of the approach that we have suggested.

Key words: Multi-objective Programming, Weights, Decision Making