Abstract
This paper studies a decision-making system in which a situation has its numerical consequences with the natural order as the preference relation of a decision-maker. A rather wide class of situations is considered in which the decision-maker can use the criterion of the mentioned type under some rather natural conditions based on the principle of guaranteed result, which depends only on a regularity that describes randomness in a general sense, i.e., the regularity of a mass phenomenon representing a state of nature.
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References
V. M. Mikhalevich, “Some classes of preference choice rules for decision-making problems,” Cybernetics and Systems Analysis, Vol. 46, No. 6, 986–997 (2010).
V. M. Mikhalevich, “Parametric decision problems with financial losses,” Cybernetics and Systems Analysis, Vol. 47, No. 2, 286–295 (2011).
V. I. Ivanenko and V. A. Labkovsky, The Uncertainty Problem in Decision Making [in Russian], Naukova Dumka, Kyiv (1990).
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Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 163–169, September–October 2011.
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Mikhalevich, V.M. To parametric decision problems with money income. Cybern Syst Anal 47, 812–817 (2011). https://doi.org/10.1007/s10559-011-9360-0
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DOI: https://doi.org/10.1007/s10559-011-9360-0