Abstract
In the research on transforming vague set to fuzzy set, it is the key question to carry on the judgment to the vague-degree's tendentiousness. Vague set's vague-degree expresses one kind of indefinite degree, therefore the question transforming vague set to fuzzy set may regard as the venture decision under the definite condition. When the policy-maker carries on the venture decision, the policy-maker's risk preferences decided by the subjective and objective condition is a very essential policy-making parameter. In this paper, introduce the risk-income balancing weight into the transforming model, thus enable reflect the policy-maker's risk preferences well in the transforming result. In addition, decompose the value of fuzzy set's membership degree into the following two parts: the value of vague set's real membership degree, the weighting sum of the risk value and the tendency value.
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