Transforming Model from Vague Set to Fuzzy Set Based on the DWCO Operator

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.