St. Petersburg Polytechnical University Journal: Physics and Mathematics (Mar 2021)

Making a collective expert decision based on the Neumann-Pearson algorithm

  • Antonov Valery,
  • Garbaruk Victor,
  • Fomenko Viktor

DOI
https://doi.org/10.18721/JPM.14112
Journal volume & issue
Vol. 14, no. 1

Abstract

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The article discusses the possibility of processing voting results in the case of a team of experts with different efficiency in assessing the situation. The experts are expected to decide whether or not a patient has a specific disease. It is required to most reasonably combine the votes of individual experts in a collective decision of the council as a whole. The algorithm is based on the Neumann and Pearson principle of minimizing the probability of a type 2 error with a fixed probability of a type 1 error. It is shown that a team of experts with different qualifications can come to the correct conclusion with a high probability.

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