Hello all,
For multi-objective optimization problem, it is common to show the Pareto optimum chart. Can a multi-objective nonlinear programming problem with fuzzy parameters be shown with Pareto chart?
Thank you in advance
Regards
Sardashti
I think you would have to transform the problem somehow, into what sometimes is called a "crisp" problem. If you have some idea of the ranges of the fuzzy data you may re-run the problem over a very large representations of that data, and try to provide images of the range of the Pareto points.
Hi,
Generally, you should transform your fuzzy parameters to deterministic ones. I suggest you to see this paper considering the fuzzy parameters.
- Sadeghi-Moghaddam, S., Hajiaghaei-Keshteli, M., & Mahmoodjanloo, M. (2017). New approaches in metaheuristics to solve the fixed charge transportation problem in a fuzzy environment. Neural Computing and Applications, 1-21.
After transforming the parameters, you can run the problem. Note that there is no different between linear and non-linear models when you use the metaheuristic algorithms e.g. NSGA-II
- Badges
- Science method
- Similar topics
- Mathematics
- Statistics
- Statistical Techniques
- Structural Equation Modeling