Determining Weights in Multi-Objective Linear Programming under Fuzziness

DİNÇ YALÇIN G., ERGİNEL N.

World Congress on Engineering (WCE 2011), London, Canada, 6 - 08 July 2011, pp.1122-1124, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • City: London
  • Country: Canada
  • Page Numbers: pp.1122-1124
  • Keywords: fuzzy multi-objective linear programming, two persons zero sum game theory, weights of objectives, MODEL
  • Anadolu University Affiliated: Yes

Abstract

This study presents a method to determine weights of objectives in multi objective linear programming without decision maker/s preference. The method is developed by modifying Belenson and Kapur's approach under fuzziness. It is used two-person zero-sum game with mixed strategies. Degree of linear membership functions of objectives are used in pay-off matrix. The proposed method is shown with a numerical example and several fuzzy solution approaches are used to get a solution by using obtained weights. Also the results of problems that are obtained from literature are presented.