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March 14, 2026Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics0 citations

A Method for Decision Analysis Under Uncertainty With a Qualitative Assessment of Preferences and Probabilities

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ANA.P. NelyubinVPV.V. Podinovski

Key Points

  • This work aims to develop a decision analysis method that incorporates qualitative assessments of preferences and probabilities.
  • Utilized an ordinal scale for measuring decision maker preferences
  • Incorporated qualitative probabilities for uncertain factors
  • Developed a decision rule for comparing different strategies
  • Demonstrated preference and indifference relations among decision strategies
  • Illustrated decision analysis with several examples

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.

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Cite This Study

Nelyubin et al. (2025) studied this question.

synapsesocial.com/papers/69b4b9fb18185d8a39802599https://doi.org/10.7868/s3034504925040072
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