An interactive satisficing approach for solving fuzzy multiobjective Linear optimization problems based on the Attainable Reference Point Method | ||||
The International Conference on Mathematics and Engineering Physics | ||||
Article 10, Volume 5, International Conference on Mathematics and Engineering Physics (ICMEP-5), May 2010, Page 1-15 PDF (314.2 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/icmep.2010.29804 | ||||
View on SCiNiTO | ||||
Authors | ||||
Taghreed A. Hassan; A. A. Mousa | ||||
Abstract | ||||
Abstract In a fuzzy environment, Decision Maker (DM) generally gives all objectives their vague targets. DM permits the objectives less than or equal to (or more than or equal to) aspiration levels by predetermining the respective tolerances. In this research, an approach to the case of the fuzzy multiple objectives linear programming problems with fuzzy goals in objective functions and constraints is described. This approach is associated with modifying the compromise model by reconstructing the membership functions by changing tolerances of the objectives using the principle of the interactive Attainable Reference Point Method to guarantee the optimization problem feasibility. To demonstrate the effectiveness of the optimization approach proposed here a numerical example is solved. | ||||
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