Abstract
For polyinterval objects, such as generalized interval estimates and fuzzy values, methods are proposed to calculate numerical characteristics, which are similar to characteristics of distribution functions of probability theory (mathematical expectation, variance, average semideviation). The methods are based on the defuzzification of interval estimates of the indicated numerical characteristics in the case of fuzzy polyinterval objects and on the representation of generalized interval estimations as a probability mixture of distributions forming such generalized estimations. These results allow extension of the well-known “mean-risk” method, which is usually used for comparing mono-interval values on their preference and risk, to the case of polyinterval estimates.
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