RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

  • ISSN (Print) 2686-9543
  • ISSN (Online) 3034-5049

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

PII
S3034504925040072-1
DOI
10.7868/S3034504925040072
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 524 / Issue number
Pages
47-50
Abstract
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.
Keywords
Принятие решений при неопределенности качественная вероятность порядковая шкала критериев отношение предпочтения
Date of publication
27.11.2025
Year of publication
2025
Number of purchasers
0
Views
23

References

  1. 1. Фишберн П. Теория полезности для принятия решений / Пер. с англ. М.: Наука, 1978. 352 c.
  2. 2. Ларичев О.И. Теория и методы принятия решений. М.: Логос, 2008. 296 с.
  3. 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. 4. Fishburn P.C. Decision and Value Theory. New York: Wiley, 1964. 451 p.
  5. 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. 6. Fishburn P.C. Linear extensions of additive partial orders // Order. 1997–1998. V. 14. P. 153–169.
  7. 7. Fishburn P.C. The axioms of subjective probability // Statistical Science. 1986. V. 1. P. 335–345.
  8. 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. 9. Нелюбин А.П., Подиновский В.В. Многокритериальные задачи с упорядоченными по важности группами критериев // Автоматика и телемеханика. 2022. №7. С. 119–136.
QR
Translate

Индексирование

Scopus

Scopus

Scopus

Crossref

Scopus

Higher Attestation Commission

At the Ministry of Education and Science of the Russian Federation

Scopus

Scientific Electronic Library