  This paper is going to introduce a new method for ranked set sampling with
multiple criteria. The method is based on a version of ranked set sampling,
introduced by Panahbehagh et al. (2017), which relaxes the restriction of
selecting just one individual variable from each ranked set. Under the new
method for ranking, elements are ranked in sets based on linear extensions in
partial order sets theory, where based on all the variables simultaneously.
Results will be evaluated by some simulations and two real case study on
economical, medicinal use of flowers and the pollution of herb-layer by Lead,
Cadmium, Zinc and Sulfur in regions in the southwest of Germany.
