Understanding the uncertainty of objective things in actual engineering is inevitable, and it has a direct impact on engineering decision-making. In view of this, there are many theories—fuzzy mathematics, evidence theory and other related theories have been put forward, and which have been widely applied in practical engineering at present. However, these theories are based on their specific uncertainties, which are large different from each other and do not completely reveal the common attributes of such uncertainties. In this paper, a basic analysis method of subjective uncertainty is established by based on the concepts of degree of belief and unascertained quantity. The paper will introduce the axiomatic operation rules of degree of belief, and further elaborate the subjective uncertainty analysis method. Based on the basic analysis methods of fuzzy mathematics and evidence theory, a unified method of subjective uncertainty analysis is reviewed and improved. It can help to establish a unified understanding of subjective uncertainty, and can help to comprehensively analyze the influence of various subjective uncertainties on engineering decision-making.
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