A METHOD FOR DECISION ANALYSIS UNDER UNCERTAINTY WITH A QUALITATIVE ASSESSMENT OF PREFERENCES AND PROBABILITIES

封面

如何引用文章

全文:

开放存取 开放存取
受限制的访问 ##reader.subscriptionAccessGranted##
受限制的访问 订阅或者付费存取

详细

In this paper, we consider decision analysis problems in which the preferences of the decision maker are measured on an ordinal scale and the possibilities of realization of an uncertain factor are given as a qualitative probability, either complete or partial.We use this qualitative information to determine preference and indifference relations on the set of decision strategies, suggest a simple decision rule for the comparison of strategies and illustrate this development by several examples.

作者简介

A. Nelyubin

Mechanical Engineering Research Institute RAS

Email: nelubin@gmail.com
Moscow, Russia

V. Podinovski

National Research University Higher School of Economics

Email: podinovski@mail.ru
Moscow, Russia

参考

  1. Фишберн П. Теория полезности для принятия решений / Пер. с англ. М.: Наука, 1978. 352 c.
  2. Ларичев О.И. Теория и методы принятия решений. М.: Логос, 2008. 296 с.
  3. Briggs R.A. Normative theories of rational choice: expected utility // The Stanford Encyclopedia of Philosophy (Winter 2023 Edition) / E.N. Zalta, U. Nodelman (eds.). https://plato.stanford.edu/archives/win2023/entries/rationality-normative-utility/
  4. Fishburn P.C. Decision and Value Theory. New York: Wiley, 1964. 451 p.
  5. Montiel L.V., Bickel E. Decision making with partial probabilistic or preference information // Wiley Encyclopedia of Operations Research and Management Science, 2015. https://onlinelibrary.wiley.com/doi/10.1002/9780470400531.eorms1104
  6. Fishburn P.C. Linear extensions of additive partial orders // Order. 1997–1998. V. 14. P. 153–169.
  7. Fishburn P.C. The axioms of subjective probability // Statistical Science. 1986. V. 1. P. 335–345.
  8. Kraft C.H., Pratt J.W., Seidenberg A. Intuitive probability on finite sets // Annals of mathematical statistics. 1959. V. 30. P. 408–419.
  9. Нелюбин А.П., Подиновский В.В. Многокритериальные задачи с упорядоченными по важности группами критериев // Автоматика и телемеханика. 2022. №7. С. 119–136.

补充文件

附件文件
动作
1. JATS XML

版权所有 © Russian Academy of Sciences, 2025