๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Fusion of ordinal information using weighted median aggregation

โœ Scribed by Ronald R. Yager

Book ID
104347945
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
671 KB
Volume
18
Category
Article
ISSN
0888-613X

No coin nor oath required. For personal study only.

โœฆ Synopsis

The weighted median is introduced as a fusion operation which can be used in situations in which, while having numeric values for the weights associated with the objects to be fused, the actual objects being fused only satisfy an ordering property. After introducing the concept of weighted median we compare it with the weighted average and show that they have many properties in common. We then provide an algorithm for learning the weights associated with a median aggregation. We then show how we can use this technique to extend the applicability of the Ordered Weighted Averaging (OWA) operator to situations in which the arguments are nonnumeric. Finally we show how we can use the weighted median as an alternative to the expected value in the evaluation of probabilistic lotteries.

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