I am working with a set of data, I want to find the optimum condition using Pareto optima technique.
As already mentioned, in nontrivial multiobjective optimization problems with conflicting objective functions, there does not exist a single solution that simultaneously optimizes each objective. Instead you get a set of nondominated/noninferior pareto optimal solutions along a so called pareto frontier. However, once you reach this point it's up to you (and your problem specific preferences) to choose an adequate solution from that set.
Pareto optimization is conceptually linked to pareto analysis (the efficient/optimal selection of tasks to achieve a certain goal within a given amount of time).
As a good starting point, I suggest: http://statisticalconcepts.blogspot.de/2010/03/pareto-analysis.html
Thank you all for your valuable suggestions. Basically I I want to use it for a multi objective optimization problem.
As I have used Taguchi and GRA method for optimization. Will pareto optimization give the same results, as by Taguchi/GRA methods.
Thanks.
Generally ..... First, an analysis is made to the diagrams of Isikava (causal effect diagram), then made FMEA analysis and finally, if necessary, a planned experiment, the method of Taguchi.
Respected Mladen sir, thank you very much for your valuable suggestions. I have done Taguchi and thereafter GRA is used to find the optimal condition for a numerical study, but the reviewer is asked to use about Pareto optima.
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