Risk Ranking And Their Applications In Uncertain Environment

Uncertain variable is a mathematical tool to describe risk in uncertain environment. In fact,we can't say which risk is bigger because their value is uncertain, we can only compare them in certain mathematical sense. This is crucial and difficult for comparing risk variable. Risk variable is closely related to digital features of uncertain variable, so comparing of risk variable is actually comparing of digital features.This thesis gives a systematic exposition of comparison of risk variable in uncertain environment based on reading of relevant literature at home and abroad. The article is structured as follows: Firstly, this paper introduces a new method of stop-loss order, the stop-loss order's concept and its corresponding properties are studied. Secondly, the definition of stop-loss order is introduced, the distinguish of stop-loss order is investigated and its applied in stop-loss reinsurance,addresses varieties of risk ranking concepts based on uncertainty theory and exhibits the relationships among these different risk ranking methods. Finally, we provide the relationshipbetween order and premium.