Summary: An important area of research in the field of decision theory is the way in which expert judgments are aggregated into a single judgment or decision. At the olympics, for example, the participating nations are ranked according to the total number of gold, sliver, and bronze medals they win. This study uses vote-ranking and cross-evaluation and considers a new condition to the ranking methods that the weight differences between gold medal and silver medal is no less than the differences between silver medal and bronze medal. These data contain total number of gold, sliver, and bronze medals won at the Sydney 2000 Olympics where each medal is permitted to choose the most favorable weights on gold, silver and bronze medals to be applied to his/her standings (first place, second place, third place votes, etc). Not only are these approaches more realistic than the traditional lexicographic method and data envelopment analysis, but they provide useful targets whose ranking weights of medals and get the place ranking of participating nations. These approaches are based on a very simple idea, and they are realizable visually. Finally, the traditional lexicographic method, vote-ranking and cross-evaluation are evaluated and statistical analysis is carried out. The methods could also be applied to group decision on projects selection of multi-criteria.