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Preference Function Modelling: The Mathematical Foundations of Decision Theory

In: Trends in Multiple Criteria Decision Analysis

Author

Listed:
  • Jonathan Barzilai

    (Dalhousie University)

Abstract

We establish the conditions that must be satisfied for the mathematical operations of linear algebra and calculus to be applicable. The mathematical foundations of decision theory and related theories depend on these conditions which have not been correctly identified in the classical literature. Operations Research and Decision Analysis Societies should act to correct fundamental errors in the mathematical foundations of measurement theory, utility theory, game theory, mathematical economics, decision theory, mathematical psychology, and related disciplines.

Suggested Citation

  • Jonathan Barzilai, 2010. "Preference Function Modelling: The Mathematical Foundations of Decision Theory," International Series in Operations Research & Management Science, in: Matthias Ehrgott & José Rui Figueira & Salvatore Greco (ed.), Trends in Multiple Criteria Decision Analysis, chapter 0, pages 57-86, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-5904-1_3
    DOI: 10.1007/978-1-4419-5904-1_3
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    Cited by:

    1. Podinovskaya, Olga V. & Podinovski, Vladislav V., 2017. "Criteria importance theory for multicriterial decision making problems with a hierarchical structure," European Journal of Operational Research, Elsevier, vol. 258(3), pages 983-992.

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