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When evaluating two students using two types of tests, assigning weights to their scores can be a useful approach. Consider the following scenarios: Suppose student a_1's scores are (40, 80) and stude...nt a_2's scores are (60, 60). With equal weights of 1:1, their overall evaluations are the same. With weights of 2:1, student a_2 outperforms student a_1. With weights of 1:2, the conclusion is reversed. This observation indicates that one can control the overall evaluation by weights. This paper shows the same is true for not only individuals but also groups (sets). The mathematical foundation for this approach is based on Borsuk's antipodal theorem ([1]).続きを見る
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Mendeley出力
lnav11n2p93