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Merging discrete measurements

Author

Listed:
  • Antonio Quesada

    (Universitat Rovira i Virgili, Spain)

Abstract

A merging function synthesizes a vector of numbers (representing measurements, scores or quantitative opinions) into a single number (representing a consensus or collective measurement, score or quantitative opinion). Assuming that all the involved numbers are drawn from a discrete set, it is shown that projection functions are the only merging functions satisfying three properties satisfied by the arithmetic mean (defined for real numbers). Another projection result is obtained under alternative assumptions when merging functions are assumed to transform matrices of numbers from a discrete set to a vector of numbers from the discrete set.

Suggested Citation

  • Antonio Quesada, 2005. "Merging discrete measurements," Computational Economics 0504001, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpco:0504001
    Note: Type of Document - pdf; pages: 13
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/comp/papers/0504/0504001.pdf
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    References listed on IDEAS

    as
    1. Aczel, Janos & Roberts, Fred S., 1989. "On the possible merging functions," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 205-243, June.
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    More about this item

    Keywords

    Aggregation of measurements; merging functions; interdependent measurements; social choice.;
    All these keywords.

    JEL classification:

    • C80 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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