The paper is concerned with the decision-making problem under fuzzy uncertainty. A decision maker selects one alternative focusing on the impact of an uncontrolled factor. In this paper the case when the information about an uncontrolled factor is fuzzy is considered. Three concepts for solving this problem are offered: a weak solution, a strong solution and a solution on the average. The relationship between solutions is investigated. As an example, the problem of treating soil with pesticides is considered, with a strong solution and a solution on the average being found for this problem.
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Ukhobotov et al. (2019) studied this question.