Applying Grey Relational Analysis to the Decathlon Evaluation Model

Abstract

Decathlon, track-and-field events consist of ten separate contests. Points are awarded for each event, and the overall score determines the winner. However, the class interval and its specified unit for scoring table seem to be unreasonable. To overcome this defect, Grey relational grade deduced by Grey theory [17] will be used to establish a complete and accurate evaluation model for determining who is the best all-around athlete among all contestants. This methodology not only will significantly reduce scoring disputes but also can help the attended team to select the best athletes. A numerical example for athletic scores ranking in a typical decathlon competition utilizing Grey relational analysis will also be made in this paper. This proposed method may provide the World Games or other sport federations with an improved score awarding method in order to determine who, among all athletes, is the best all-round athlete.

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