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: | Wang Dingwei |
Keywords: | fuzzy sets |
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.