Solving a multiobjective possibilistic problem through compromise programming

Solving a multiobjective possibilistic problem through compromise programming

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Article ID: iaor20061784
Country: Netherlands
Volume: 164
Issue: 3
Start Page Number: 748
End Page Number: 759
Publication Date: Aug 2005
Journal: European Journal of Operational Research
Authors: , , ,
Keywords: programming: branch and bound
Abstract:

Real decision problems usually consider several objectives that have parameters which are often given by the decision maker in an imprecise way. It is possible to handle these kinds of problems through multiple criteria models in terms of possibility theory. Here we propose a method for solving these kinds of models through a fuzzy compromise programming approach. To formulate a fuzzy compromise programming problem from a possibilistic multiobjective linear programming problem the fuzzy ideal solution concept is introduced. This concept is based on soft preference and indifference relationships and on canonical representation of fuzzy numbers by means of their α-cuts. The accuracy between the ideal solution and the objective values is evaluated handling the fuzzy parameters through their expected intervals and a definition of discrepancy between intervals is introduced in our analysis.

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