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

✍ Scribed by Dingwei Wang

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 477 KB
• Volume: 89
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00090-5

✦ Synopsis

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. @ 1997 Elsevier Science B.V.