A Linear Transform Scheme for Building Weighted Scoring Rules

Tianming Hu, Dongguan University of Technology
S. Y. Sung, South Texas College
J. Sun, University of Auckland
X. W. Ai, Nanchang Hangkong University
Peter A. Ng, Indiana University - Purdue University Fort Wayne

Abstract

It is often necessary to combine multiple scores into a joint

decision in many real-world applications. To that end, an essential challenge

is to build a proper weighted scoring rule, which assigns more weight to the

more important scores and derives a final scoring value. In this paper, we first

introduce some desirable properties of weighted scoring rules, and then propose

a scheme that can incorporate weights into scores in a natural way. In addition,

we show our method has overcome some drawbacks of a classic weighted scoring

method. Finally, as a case study, we apply these weighted scoring methods to

outlier detection to evaluate how much they help solve the ultimate ranking

problem.