Research on the Method of Transforming Vague to Fuzzy Value

Abstract

In the study of the transformation of Vague sets to Fuzzy sets, the key is to judge the tendency of the Vague degree. To determine the tendency of Vague degree, it is necessary to make decision on the information of the uncertainty. Therefore, the transformation of the Vague set to the Fuzzy set can be regarded as the decision maker’s risk decision under the uncertain conditions. Risk preference of decision-makers is a key decision parameter when decision makers make risk decision. In this paper, the weight of risk - income weighed weight is introduced into the transformation model. Risk preference of decision-makers is well reflected in the transformation results. The membership degree of the Fuzzy set is decomposed into two parts: the true membership value of the Vague set, the value of the risk and the value of the tendencies. The results show that it is necessary and meaningful to consider the risk preference of the decision-makers. The thinking mode of dealing with this kind of problem can be changed from “point” thinking to “face” thinking. The fuzziness and risk preference of decision-makers are presented to the decision-makers in the form of a two-dimensional decision map. The transformation model is to help decision makers to fully understand the facts. The role of the transformation model is to assist decision makers in making scientific decisions rather than making decisions for decision makers.