A multiple attributes decision making model is wildly used and studied. The goal of multiple attributes decision making problems is to select a perfect alternative. The existed methods pay attention to rank the alternatives and suggest a best alternative to decision makers. However, there is risk hiding on the priority order. When accepting the order, decision makers undertake the risk at the same time. It is unknown for decision makers. To show the advantages and disadvantages for each alternative, and the risk of a selection, we propose a possibility priority degree analyzing model. With this model, decision makers can be aware of the possibility of priority degree, similar degree and the priority risk, and then make decision. It will effectively reduce the decision risk and improve the decision efficiency.
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