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The model of public health emergency decision-making based on double quantitative fuzzy rough set over two universes. (Chinese. English summary) Zbl 1438.90155

Summary: Emergency decision making of public health is the core of public health management, and also the key to effective response and successful disposal of public health events. In recent years, frequent public health events have posed serious threats to human life security and social stability. Therefore, it is urgent to study the emergency decision theory and methods for dealing with public health emergencies. In this paper, we discuss the theory of double quantitative fuzzy set over two universes with the background of public health decision-making. Then we define a double quantitative fuzzy set model based on the fuzzy compatible relation over two universes. By the theory of double quantitative fuzzy set over two universes, the public health decision-making changes into a fuzzy approximation of a fuzzy decision object on the decision approximation space over two universes. So, we construct the model of public health decision-making based on double quantitative fuzzy set over two universes. We compute the lower (upper) approximation of the fuzzy decision object with respect to the double quantitative approximation space over two universes, and then present the public health decision rules by combing the idea of uncertainty decision-making. Moreover, the algorithm of the decision is given. This model gives a kind of decision approach to public health decision-making under the condition of incomplete information. Furthermore, we also give the optimal decision rules by considering the preference of the decision-makers. The proposed model could give a properly descriptive of the characters for the public health decision-making with incomplete information and urgently time. Therefore, it can provide a basic theory and a decision approach in practice for public health decision-making. Finally, the theoretical model is applied to two different public health emergency decision-making problems, and the application process and effectiveness of the model constructed in this paper are illustrated.

MSC:

90B50 Management decision making, including multiple objectives
03E72 Theory of fuzzy sets, etc.
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