Computational aspects of the coarsening at random model and the Shapley value

Authors:
Baokun Li;Tonghui Wang
Affiliations:
RIEM, Southwestern University of Finance and Economics, Chengdu, 610074, China;Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003-8001, USA
Venue:
Information Sciences: an International Journal
Year:
2007

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Abstract

This paper is concerned with computational aspects of coarse data in information technology. A method for calculating the CAR (coarsening at random) model of a finite random set is obtained, and a formula for computing the Shapley value using the distribution of the random set is given. The relationship between the CAR model solution and the Shapley value is also discussed. Several examples are given to illustrate our results.