An inexact approach for linear programming problems with fuzzy objective and resources

An inexact approach for linear programming problems with fuzzy objective and resources

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Article ID: iaor1999928
Country: Netherlands
Volume: 89
Issue: 1
Start Page Number: 61
End Page Number: 68
Publication Date: Jul 1997
Journal: Fuzzy Sets and Systems
Authors:
Keywords: fuzzy sets
Abstract:

An inexact approach is proposed to solve objective/resource type of fuzzy linear programming problems. Instead of finding an exact optimal solution, this approach uses a recommended genetic algorithm with mutation along the weighted gradient direction to find a family of inexact solutions with acceptable membership degree. Then, by means of the human–computer interaction, the solution preferred by the decision-maker can be achieved by a convex combination of the solutions selected from the family. The numerical analysis has shown that the more satisfactory results can be achieved by this new approach.

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