On Properties of Risk Indicators in Comparing Interval Alternatives Problems

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The correspondence of some risk indicators to the requirement of their coordinated change with the associated preference indicators is studied for problems of comparing interval alternatives. A coordinated change is such a change, in which the value of the corresponding risk indicator increases with the growth of the preference indicator. It is shown that in methods of individual risk, the “mean-risk” type, left-sided risk indicators are coordinated for choosing the distribution mode as an indicator of preference, and also, with known limitations, for choosing the distribution median as a measure of preference. It has been established that the indicator of the mean semi-deviation, which is recommended as an indicator of risk for choosing the mathematical expectation of the distribution as a measure of preference, does not meet this requirement, and therefore cannot, generally speaking, be considered as adequate for problems of comparing interval alternatives.

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Sobre autores

Gennady Shepelev

Federal Research Center “Computer Science and Control”, RAS

Autor responsável pela correspondência
Email: gis@isa.ru

Candidate of physical and mathematical sciences, senior researcher. Leading Researcher

Rússia, Moscow

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